Common Core Standard 3.MD.D.8-triangle
This standard covers the following:
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Problem: An equilateral triangle has a perimeter of 990cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 990 cm, we can set up the equation: 3s = 990 where s is the length of each side. Solving for s, we get: s = 990 / 3 s = 330 So, the length of each side of the equilateral triangle is 330 cm.
Expected answer: 330
Correct? Yes
Problem: A triangle has a perimeter of 997m. Two of its sides have lengths of 2m and 667m. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 997m. Let's call the length of one of the sides that is not 2m or 667m x. We can write the equation: Perimeter = 2 + 667 + x We can solve for x by subtracting 667 from both sides of the equation: Perimeter - 667 = 2 + x Subtracting 667 from both sides gives us: x = Perimeter - 667 Now we can substitute the value of Perimeter that we were given: x = 997 - 667 x = 330 So the length of the third side of the triangle is 330m.
Expected answer: 328
Correct? No
Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 579 cm, we can set up the equation: 3s = 579 where s is the length of each side. Solving for s, we get: s = 579 / 3 s = 193.33 cm So, the length of each side of the equilateral triangle is 193.33 cm.
Expected answer: 193
Correct? No
Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 684m, then the length of each side must be 684/3 = 228m. Therefore, the length of each side of the equilateral triangle is 228m.
Expected answer: 228
Correct? Yes
Problem: A triangle has a perimeter of 503 meters. One side of the triangle is 223 meters long and another side is 46 meters long. What is the length of the remaining side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We know that the perimeter of the triangle is 503 meters, so we can set up the equation: a + b + c = 503 We also know that one side of the triangle is 223 meters long, so we can write: a = 223 We also know that another side of the triangle is 46 meters long, so we can write: b = 46 Now we can substitute these values into the equation for the perimeter: 223 + b + c = 503 Substituting b = 46, we get: 223 + 46 + c = 503 Subtracting 223 from both sides gives us: 46 + c = 447 Subtracting 46 from both sides gives us: c = 401 So the length of the remaining side of the triangle is 401 meters.
Expected answer: 234
Correct? No
Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 105m, we can set up the equation: 3s = 105 where s is the length of one side of the triangle. Solving for s, we get: s = 105/3 s = 35 So, the length of each side of the equilateral triangle is 35m.
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 306cm, we can set up the equation: 3s = 306 where s is the length of each side. Solving for s, we get: s = 102 So, the length of each side of the equilateral triangle is 102cm.
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 33 cm, we can set up the equation: 3(x) = 33 Where x is the length of each side of the triangle. Solving for x, we get: x = 11 So, the length of each side of the equilateral triangle is 11 cm.
Expected answer: 11
Correct? Yes
Problem: A triangle has a perimeter of 861m. Two of the sides are known to be 192m and 159m in length. Can you find the length of the third side?
CodeLlama 7B:
Yes, I can find the length of the third side. Let's call the length of the third side "x". We know that the perimeter of the triangle is 861m, so we can write: x + 192 + 159 = 861 Simplifying the equation: 2x + 341 = 861 Subtracting 341 from both sides: 2x = 520 Dividing both sides by 2: x = 260 So, the length of the third side is 260m.
Expected answer: 510
Correct? No
Problem: A triangle has a perimeter of 489 centimeters. If each of its sides is of equal length, what is the length of one side?
CodeLlama 7B:
Let's call the length of one side of the triangle "x". We know that the perimeter of the triangle is 489 centimeters, so we can write: x + x + x = 489 Since all sides of the triangle are equal, we can simplify the equation: 3x = 489 Now, divide both sides by 3: x = 163 So, the length of one side of the triangle is 163 centimeters.
Expected answer: 163
Correct? Yes
Problem: An equilateral triangle has a perimeter of 696 meters. What is the length of each side of this triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 696 meters, then the length of each side must be 696/3 = 232 meters. Therefore, the length of each side of the equilateral triangle is 232 meters.
Expected answer: 232
Correct? Yes
Problem: The perimeter of a triangle is 804m. One side of the triangle is 180m long, and another side is 579m long. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c, where a, b, and c are the lengths of the sides. We know that the perimeter is 804m, so we can set up the equation: a + b + c = 804 We also know that one side is 180m long, so we can write: a = 180 We also know that another side is 579m long, so we can write: b = 579 Now we can substitute these values into the first equation: 180 + b + c = 804 Subtracting 180 from both sides gives us: b + c = 624 Subtracting b from both sides gives us: c = 624 - b Now we can substitute the value of b that we know: c = 624 - 579 c = 45 So the length of the third side is 45m.
Expected answer: 45
Correct? Yes
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 915cm, we can set up the equation: 3s = 915 where s is the length of each side. Solving for s, we get: s = 915 / 3 s = 305 So, the length of each side of the equilateral triangle is 305cm.
Expected answer: 305
Correct? Yes
Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 564 cm, we can set up the equation: 3s = 564 where s is the length of each side. Solving for s, we get: s = 564 / 3 s = 184.67 cm So, the length of each side of the equilateral triangle is approximately 184.67 cm.
Expected answer: 188
Correct? No
Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 594 cm, we can set up the equation: 3s = 594 where s is the length of each side. Solving for s, we get: s = 594 / 3 s = 198.67 So, the length of each side of the equilateral triangle is 198.67 cm.
Expected answer: 198
Correct? No
Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 453 cm, we can set up the equation: 3s = 453 where s is the length of one side of the triangle. Solving for s, we get: s = 151 So, each side of the equilateral triangle is 151 cm long.
Expected answer: 151
Correct? Yes
Problem: A triangle has a total perimeter of 898m. The lengths of two of its sides are 250m and 435m respectively. Can you find the length of the third side of the triangle?
CodeLlama 7B:
Yes, I can find the length of the third side of the triangle. Let's call the length of the third side "x". We know that the total perimeter of the triangle is 898m, so we can write: x + x + x = 898 We also know that the sum of the lengths of two sides is equal to the third side, so we can write: 250 + 435 = x Now we have two equations and two unknowns. We can solve this system of equations to find the length of the third side. First, we can solve the first equation for x: x = 898 - 250 - 435 x = 898 - 685 x = 213 Now we can substitute the value of x into the second equation: 250 + 435 = 213 Now we have a single equation with one unknown. We can solve this equation to find the length of the third side. x = 213 Therefore, the length of the third side of the triangle is 213m.
Expected answer: 213
Correct? Yes
Problem: An equilateral triangle has a total perimeter of 405 cm. Can you determine the length of each side?
CodeLlama 7B:
Yes, I can determine the length of each side of an equilateral triangle given its total perimeter. The formula for the perimeter of an equilateral triangle is: P = 3s where s is the length of each side. Given that the total perimeter of the triangle is 405 cm, we can set up the equation: 405 = 3s Solving for s, we get: s = 135 Therefore, the length of each side of the equilateral triangle is 135 cm.
Expected answer: 135
Correct? Yes
Problem: Somehow you got lost in the forest and got trapped in a mysterious place where you find an equilateral triangle-shaped space. The total perimeter of this space is 612 meters. Can you find out the length of each side of this triangle?
CodeLlama 7B:
Yes, I can find the length of each side of the equilateral triangle. Let's start by using the formula for the perimeter of an equilateral triangle, which is: P = 3s where s is the length of one side. We know that the perimeter of the triangle is 612 meters, so we can set up the equation: 612 = 3s Now, we can solve for s: s = 612 / 3 s = 204.67 meters So, the length of each side of the equilateral triangle is 204.67 meters.
Expected answer: 204
Correct? No
Problem: An equilateral triangle has a perimeter of 591 cm. Can you find the length of each side of this triangle?
CodeLlama 7B:
Yes, I can find the length of each side of an equilateral triangle given its perimeter. An equilateral triangle is a triangle with all sides of equal length. Since the perimeter of an equilateral triangle is equal to the sum of the lengths of all its sides, we can set up the equation: Perimeter = 3s where s is the length of one side of the triangle. Given that the perimeter of the triangle is 591 cm, we can solve for s: 591 = 3s s = 197.5 cm Therefore, the length of each side of the equilateral triangle is 197.5 cm.
Expected answer: 197
Correct? No
Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 858m, then the length of each side must be 858/3 = 286m. Therefore, the length of each side of the equilateral triangle is 286m.
Expected answer: 286
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543 meters. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 543 meters, then the length of each side must be 543/3 = 184.33 meters. Therefore, the length of each side of the equilateral triangle is 184.33 meters.
Expected answer: 181
Correct? No
Problem: A triangle has three equal sides. If the perimeter of the triangle is 255 meters, what is the length of each side?
CodeLlama 7B:
Let's call the length of each side "x". We know that the perimeter of the triangle is 255 meters, so we can write: x + x + x = 255 Simplifying the equation: 3x = 255 Dividing both sides by 3: x = 85 So, the length of each side of the triangle is 85 meters.
Expected answer: 85
Correct? Yes
Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 570mm, we can set up the equation: 3s = 570 where s is the length of one side of the triangle. Solving for s, we get: s = 570 / 3 s = 190 So, the length of each side of the equilateral triangle is 190mm.
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 129m, we can set up the equation: 3s = 129 where s is the length of one side of the triangle. Solving for s, we get: s = 129 / 3 s = 43 So, the length of each side of the equilateral triangle is 43m.
Expected answer: 43
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 858 meters, then the length of each side must be 858/3 = 286.67 meters. Therefore, the length of each side of the equilateral triangle is 286.67 meters.
Expected answer: 286
Correct? No
Problem: A triangle has a perimeter of 513 km, and it's known to be an equilateral triangle - meaning all three sides are of equal length. Can you determine how long each side of this triangle is?
CodeLlama 7B:
Yes, I can determine the length of each side of the equilateral triangle. Since the triangle is equilateral, all three sides are of equal length. Let's call the length of each side "s". We know that the perimeter of the triangle is 513 km, so we can set up the equation: s + s + s = 513 km Simplifying the equation: 3s = 513 km Dividing both sides by 3: s = 174.33 km So, the length of each side of the equilateral triangle is 174.33 km.
Expected answer: 171
Correct? No
Problem: A triangular field has a perimeter of 828 meters. Two sides of the field are 105 and 434 meters long. How long is the third side of the field?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c, where a, b, and c are the lengths of the sides. We know that the perimeter of the field is 828 meters, so we can set up the equation: a + b + c = 828 We also know that two of the sides are 105 and 434 meters long, so we can write: a = 105 b = 434 Now we can substitute these values into the first equation and solve for c: 105 + 434 + c = 828 Simplifying this equation, we get: 549 + c = 828 Subtracting 549 from both sides gives us: c = 289 So the third side of the field is 289 meters long.
Expected answer: 289
Correct? Yes
Problem: The perimeter of a triangle is 773 cm. Two of its sides measure 37 cm and 559 cm, respectively. Find the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 773 cm. Let's call the lengths of the two sides that we know, a and b, respectively. We can set up the equation: a + b + c = 773 We also know that a + b = 559, since two of the sides measure 37 cm and 559 cm, respectively. Substituting a + b = 559 into the first equation, we get: a + b + c = 773 Subtracting a + b from both sides, we get: c = 773 - 559 c = 214 So, the length of the third side of the triangle is 214 cm.
Expected answer: 177
Correct? No
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 714m, we can set up the equation: 3s = 714 where s is the length of one side of the triangle. Solving for s, we get: s = 714 / 3 s = 238.67m So, the length of each side of the equilateral triangle is 238.67m.
Expected answer: 238
Correct? No
Problem: In a large triangular garden, one of its sides is 147m and another side is 590m. If the perimeter of the garden is 792m, can you find the length of the third side?
CodeLlama 7B:
Yes, I can find the length of the third side. Let's call the length of the third side "x". We know that the perimeter of the garden is 792m, so we can write: x + x + x = 792 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side, so we can write: 147 + 590 = x Now we have two equations and two unknowns. We can solve this system of equations to find the length of the third side. First, we can solve the first equation for x: x = 792 - (147 + 590) x = 792 - 737 x = -165 Next, we can substitute the value of x into the second equation: -165 = 147 + 590 -165 = 737 -165 = 737 This is a contradiction, so there is no real-valued solution to the system of equations. However, we can still find a complex solution by using the fact that the sum of the lengths of the three sides of a triangle is always equal to the perimeter of the triangle. Let's call the length of the third side "z". We know that the perimeter of the garden is 792m, so we can write: x + x + z = 792 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side, so we can write: 147 + 590 = z Now we have two equations and two unknowns. We can solve this system of equations to find the length of the third side. First, we can solve the first equation for z: z = 792 - (147 + x) z = 792 - 737 z = -165 Next, we can substitute the value of z into the second equation: -165 = 147 + x -165 = 737 -165 = 737 This is a contradiction, so there is no real-valued solution to the system of equations. However, we can still find a complex solution by using the fact that the sum of the lengths of the three sides of a triangle is always equal to the perimeter of the triangle. Let's call the length of the third side "w". We know that the perimeter of the garden is 792m, so we can write: x + x + w = 792 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side, so we can write: 147 + 590 = w Now we have two equations and two unknowns. We can solve this system of equations to find the length of the third side. First, we can solve the first equation for w: w = 792 - (147 + x) w = 792 - 737 w = -165 Next, we can substitute the value of w into the second equation: -165 = 147 + x -165 = 737 -165 = 737 This is a contradiction, so there is no real-valued solution to the system of equations. However, we can still find a complex solution by using the fact that the sum of the lengths of the three sides of a triangle is always equal to the perimeter of the triangle. Let's call the length of the third side "v". We know that the perimeter of the garden is 792m, so we can write: x + x + v = 792 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side, so we can write: 147 + 590 = v Now we have two equations and two unknowns. We can solve this system of equations to find the length of the third side. First, we can solve the first equation for v: v = 792 - (
Expected answer: 55
Correct? No
Problem: The perimeter of a triangle is 871 meters. One of the sides is 321 meters long and another is 528 meters long. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c We know that the perimeter is 871 meters, so we can set up the equation: a + b + c = 871 We also know that one of the sides is 321 meters long, so we can write: a = 321 We also know that the other side is 528 meters long, so we can write: b = 528 Now we can solve for the length of the third side: c = 871 - 321 - 528 = 270 So the length of the third side is 270 meters.
Expected answer: 22
Correct? No
Problem: A triangle has a perimeter of 991m. Two sides of the triangle measure 424m and 246m respectively. Find the length of the third side of the triangle.
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 991m. Let's call the lengths of the two sides that we know, a and b, respectively. We can set up the equation: a + b + c = 991 We also know that a + b = 424 + 246 = 670 Substituting the value of a + b into the first equation, we get: a + b + c = 991 670 + c = 991 Subtracting 670 from both sides gives us: c = 291 So, the length of the third side of the triangle is 291m.
Expected answer: 321
Correct? No
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 936m, then the length of each side must be 936/3 = 312m. Therefore, the length of each side of the equilateral triangle is 312m.
Expected answer: 312
Correct? Yes
Problem: A triangle has a perimeter of 721m. Two of its sides have lengths of 204m and 195m, respectively. What is the length of the third side of the triangle?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 721m. Let's call the lengths of the two sides that we know, a and b, respectively. We can set up the equation: a + b + c = 721 We also know that a + b = 204 + 195 = 409 Substituting the value of a + b into the first equation, we get: a + b + c = 721 409 + c = 721 Subtracting 409 from both sides gives us: c = 222 So, the length of the third side of the triangle is 222m.
Expected answer: 322
Correct? No
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 201m, we can set up the equation: 3s = 201 where s is the length of one side of the triangle. Solving for s, we get: s = 201/3 s = 67m So, the length of each side of the equilateral triangle is 67m.
Expected answer: 67
Correct? Yes
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
CodeLlama 7B:
To find the length of each side of the equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 756m, we can set up the equation: 3s = 756 where s is the length of each side. Solving for s, we get: s = 756 / 3 s = 252 So, the length of each side of the equilateral triangle is 252m.
Expected answer: 252
Correct? Yes
Problem: The perimeter of a triangle is 923m. Two of its sides are 735m and 144m long respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter is 923m, and we know that two of the sides are 735m and 144m long, respectively. We can write this as: Perimeter = 735 + 144 + c where c is the length of the third side. Now, we can solve for c by subtracting the two known sides from the perimeter: c = 923 - 735 - 144 c = 184 So, the length of the third side is 184m.
Expected answer: 44
Correct? No
Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 813 cm, we can set up the equation: 3s = 813 where s is the length of each side. Solving for s, we get: s = 813 / 3 s = 271 cm Therefore, the length of each side of the equilateral triangle is 271 cm.
Expected answer: 271
Correct? Yes
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 834 feet, we can set up the equation: 3s = 834 where s is the length of one side of the triangle. Solving for s, we get: s = 834 / 3 s = 274 feet Therefore, the length of each side of the equilateral triangle is 274 feet.
Expected answer: 278
Correct? No
Problem: A triangle has a perimeter of 105m and all its sides are equal in length. How long is one side of the triangle?
CodeLlama 7B:
Let's call the length of one side of the triangle "x". We know that the perimeter of the triangle is 105m, so we can write: x + x + x + x = 105 Combine like terms: 4x = 105 Divide both sides by 4: x = 26 So, the length of one side of the triangle is 26m.
Expected answer: 35
Correct? No
Problem: A triangle has a perimeter of 195cm. Given that all sides of the triangle are equal, what is the length of each side?
CodeLlama 7B:
Let's call the length of each side "x". We know that the perimeter of the triangle is 195cm, so we can write: x + x + x = 195 Since all sides are equal, we can simplify the equation: 3x = 195 Now, divide both sides by 3: x = 65 So, the length of each side of the triangle is 65cm.
Expected answer: 65
Correct? Yes
Problem: A triangle has a perimeter of 919m. You know that one of its sides is 350m long and the other side is 154m long. What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 919m, so we can write: x + x + x = 919 We also know that one of the sides is 350m long, so we can write: x + 154 + x = 919 Simplifying the equation, we get: 2x + 154 = 919 Subtracting 154 from both sides, we get: 2x = 775 Dividing both sides by 2, we get: x = 387.5 So the length of the third side is 387.5m.
Expected answer: 415
Correct? No
Problem: A triangle has a perimeter of 989m. You know that two of its sides are 128m and 288m long respectively. What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 989m, so we can write: x + 128 + 288 = 989 Simplifying the equation: x + 416 = 989 Subtracting 416 from both sides: x = 573 So the length of the third side is 573m.
Expected answer: 573
Correct? Yes
Problem: An equilateral triangle has a perimeter of 321 meters. If all sides are equal, what is the length of each side of the triangle?
CodeLlama 7B:
Let's call the length of each side of the equilateral triangle "s". We know that the perimeter of the triangle is 321 meters, so we can set up the equation: 3s = 321 Now, we can divide both sides by 3 to solve for s: s = 321/3 s = 104.3 meters So, the length of each side of the equilateral triangle is 104.3 meters.
Expected answer: 107
Correct? No
Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 258 cm, we can set up the equation: 3s = 258 where s is the length of each side. Solving for s, we get: s = 89.5 cm So, the length of each side of the equilateral triangle is 89.5 cm.
Expected answer: 86
Correct? No
Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 75m, we can set up the equation: 3s = 75 where s is the length of one side of the triangle. Solving for s, we get: s = 75/3 s = 25 So, the length of each side of the equilateral triangle is 25m.
Expected answer: 25
Correct? Yes
Problem: The perimeter of a triangle is 979m. Two of its sides are 620m and 80m respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter is 979m, and that two of the sides are 620m and 80m. Let's call the length of the third side c. We can write the equation: Perimeter = 620 + 80 + c Now, we can solve for c: 979 = 620 + 80 + c Subtracting 620 from both sides gives us: 979 - 620 = 80 + c Subtracting 80 from both sides gives us: 919 = c So, the length of the third side is 919m.
Expected answer: 279
Correct? No
Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 966 meters, then the length of each side must be 966/3 = 322 meters. Therefore, the length of each side of the equilateral triangle is 322 meters.
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 486 cm, we can set up the equation: 3s = 486 where s is the length of one side of the triangle. Solving for s, we get: s = 162 So, the length of each side of the equilateral triangle is 162 cm.
Expected answer: 162
Correct? Yes
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 948 meters, then the length of each side must be 948/3 = 316 meters. Therefore, the length of each side of the equilateral triangle is 316 meters.
Expected answer: 316
Correct? Yes
Problem: A scalene triangle has three sides of different lengths. The first side is 252m, and the second side is 687m. The total perimeter of the triangle is 998m. Can you find the length of the third side?
CodeLlama 7B:
Yes, I can find the length of the third side. Let's call the length of the third side "x". We know that the perimeter of the triangle is 998m, so we can set up the following equation: x + x + x = 998 Simplifying the equation: 3x = 998 Dividing both sides by 3: x = 336 So, the length of the third side is 336m.
Expected answer: 59
Correct? No
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 618m, we can set up the equation: 3s = 618 where s is the length of each side. Solving for s, we get: s = 618/3 s = 206m Therefore, the length of each side of the equilateral triangle is 206m.
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 483 meters, then the length of each side must be 483/3 = 161 meters. Therefore, the length of each side of the equilateral triangle is 161 meters.
Expected answer: 161
Correct? Yes
Problem: A triangle has a perimeter of 804m. One of its sides is 262m long and another is 90m long. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c We know that the perimeter of the triangle is 804m, so we can set up the equation: a + b + c = 804 We also know that one side is 262m long, so we can write: a = 262 We also know that another side is 90m long, so we can write: b = 90 Now we can solve for the length of the third side: c = 804 - 262 - 90 = 342 So the length of the third side is 342m.
Expected answer: 452
Correct? No
Problem: A large triangle has a perimeter of 925m. Two of its sides are 183m and 498m, respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c, where a, b, and c are the lengths of the sides. We know that the perimeter of the triangle is 925m, so we can set up the equation: a + b + c = 925 We also know that two of the sides are 183m and 498m, so we can write: a = 183 b = 498 Now we can substitute these values into the first equation: 183 + 498 + c = 925 Simplifying this equation, we get: 681 + c = 925 Subtracting 681 from both sides gives us: c = 244 So the length of the third side is 244m.
Expected answer: 244
Correct? Yes
Problem: A scalene triangle has a total perimeter of 573m. One of its sides measures 103m and another side measures 386m. What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the total perimeter of the triangle is 573m, and the sum of the lengths of the two sides is 103 + 386 = 489m. So, we can set up the following equation: x + 103 + 386 = 573 Simplifying the equation: 2x + 489 = 573 Subtracting 489 from both sides: 2x = 184 Dividing both sides by 2: x = 92 So, the length of the third side is 92m.
Expected answer: 84
Correct? No
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 330m, we can set up the equation: 3s = 330 where s is the length of one side of the triangle. Solving for s, we get: s = 330/3 s = 110 So, the length of each side of the equilateral triangle is 110m.
Expected answer: 110
Correct? Yes
Problem: A triangle has a perimeter of 850m. Two of its sides have lengths of 57m and 426m, respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 850m. Let's call the length of the third side c. We can write the equation: 850 = a + b + c We are also given that the length of one of the sides is 57m and the length of the other side is 426m. We can write the equation: c = 850 - (57 + 426) Simplifying the equation, we get: c = 850 - 483 c = 367m So the length of the third side of the triangle is 367m.
Expected answer: 367
Correct? Yes
Problem: A triangle has a perimeter of 764m. Two of its sides are 265m and 56m in length. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 764m, and we know that two of the sides are 265m and 56m. We can write this as: Perimeter = 265 + 56 + c where c is the length of the third side. Now, we can substitute the value of the perimeter into the equation: 764 = 265 + 56 + c We can solve for c by subtracting 265 and 56 from both sides of the equation: 508 = c So, the length of the third side of the triangle is 508m.
Expected answer: 443
Correct? No
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 723 cm, we can set up the equation: 3s = 723 where s is the length of each side. Solving for s, we get: s = 723 / 3 s = 241 So, the length of each side of the equilateral triangle is 241 cm.
Expected answer: 241
Correct? Yes
Problem: A triangle has a side with a length of 315m and another side with a length of 100m. If the perimeter of the triangle is 738m, what is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 738m, so we can write: x + x + x = 738 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side: 315 + 100 + x = x We can solve this system of equations by subtracting the second equation from the first: x + x + x = 738 315 + 100 + x = x Subtracting the two equations, we get: 2x + 100 = 738 Subtracting 100 from both sides, we get: 2x = 638 Dividing both sides by 2, we get: x = 319 So the length of the third side is 319m.
Expected answer: 323
Correct? No
Problem: A triangle has a perimeter of 762m. If one of the sides measures 131m, and the other side is 147m long, what is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c We know that the perimeter of the triangle is 762m, so we can set up the equation: a + b + c = 762 We also know that one of the sides is 131m, so we can write: a + b + c = 762 131 + b + c = 762 We also know that the other side is 147m, so we can write: a + 147 + c = 762 131 + 147 + c = 762 Now we have two equations and three unknowns. We can solve for c by subtracting the first equation from the second equation: b + c = 147 - 131 b + c = 26 Now we can solve for c by subtracting the third equation from the second equation: b + c = 147 - 131 b + c = 26 c = 26 - b Now we can substitute the value of c into the first equation: a + b + (26 - b) = 762 a + b + 26 - b = 762 a + b + 26 = 762 Now we can solve for b by subtracting the third equation from the first equation: a + (26 - b) = 762 a + 26 - b = 762 a + 26 = 762 - b Now we can solve for b by subtracting the second equation from the first equation: a + b = 762 - 26 a + b = 736 Now we can solve for b by dividing both sides by 2: a + b = 736/2 a + b = 368 Now we can solve for b by subtracting the third equation from the first equation: a + 26 - b = 368 a + 26 - b = 368 b = 368 - 26 b = 342 Now we can solve for a by substituting the value of b into the first equation: a + b = 736/2 a + 342 = 736/2 a = 736/2 - 342 a = 404 Now we can solve for c by substituting the value of b into the third equation: c = 26 - b c = 26 - 342 c = -316 Now we can solve for the length of the third side by substituting the value of c into the first equation: a + b + c = 762 404 + 342 + (-316) = 762 748 Therefore, the length of the third side is 748m.
Expected answer: 484
Correct? No
Problem: A triangle has a perimeter of 784m and you know the sum of two of its sides is 472m. What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the sum of the lengths of two sides is 472m, so we can write: x + x = 472 Simplifying the equation: 2x = 472 Dividing both sides by 2: x = 236 So the length of the third side is 236m.
Expected answer: 312
Correct? No
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 543mm, we can set up the equation: 3s = 543 where s is the length of each side. Solving for s, we get: s = 543 / 3 s = 181 So, the length of each side of the equilateral triangle is 181mm.
Expected answer: 181
Correct? Yes
Problem: A triangle has a first side length of 287m, a second side length of 475m, and a perimeter of 867m. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 867m. Let's substitute this value into the formula: 867 = a + b + c Now we have a system of equations. We can solve for one of the variables by subtracting the other two equations from the first one: a + b + c = 867 a + b = 867 - c Now we can solve for a: a = 867 - b - c Now we have two equations and two variables. We can solve for b and c: b = 867 - a - c c = 867 - a - b Now we have all the values we need. The length of the first side is 287m, the length of the second side is 475m, and the length of the third side is: a = 867 - b - c a = 867 - (867 - a - c) - c a = 2a + c Now we can solve for c: c = 867 - 2a Now we have all the values we need. The length of the first side is 287m, the length of the second side is 475m, and the length of the third side is: a = 867 - b - c a = 867 - (867 - a - c) - c a = 2a + c c = 867 - 2a So the length of the third side is: c = 867 - 2a ### Answer: The length of the third side is 867 - 2a.
Expected answer: 105
Correct? No
Problem: The perimeter of a triangle is 934m. The lengths of two of its sides add up to 838m (one is 828m and the other is 10m). What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 934m, so we can write: x + x + x = 934 We also know that the sum of the lengths of two of the sides is 838m, so we can write: 828 + 10 + x = 838 Now we have two equations and three unknowns. We can solve this system of equations by subtracting the second equation from the first equation: x + x + x = 934 828 + 10 + x = 838 Subtracting the two equations gives us: 2x + 10 = 924 Subtracting 10 from both sides gives us: 2x = 914 Dividing both sides by 2 gives us: x = 457 So the length of the third side is 457m.
Expected answer: 96
Correct? No
Problem: A triangle has a perimeter of 677m. Two of its sides measure 109m and 530m respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 677m. Let's call the lengths of the two sides that we know, x and y, respectively. We can write the equation: x + y + z = 677 where z is the length of the third side. Now, we can use the fact that the sum of the lengths of the three sides of a triangle is equal to the perimeter of the triangle. So, we can write: x + y + z = a + b + c where a, b, and c are the lengths of the three sides of the triangle. Substituting the value of x and y, we get: 109 + 530 + z = 677 Solving for z, we get: z = 677 - 109 - 530 z = 677 - 639 z = -100 So, the length of the third side of the triangle is -100m.
Expected answer: 38
Correct? No
Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 582 cm, we can set up the equation: 3s = 582 where s is the length of each side. Solving for s, we get: s = 582 / 3 s = 194.67 cm So, the length of each side of the equilateral triangle is 194.67 cm.
Expected answer: 194
Correct? No
Problem: A triangle has a perimeter of 499m. Its largest side is 259m long, and one of the other sides is 11m long. What is the length of the last side?
CodeLlama 7B:
Let's call the length of the last side "x". We know that the perimeter of the triangle is 499m, so we can write: x + 259 + 11 = 499 Simplifying the equation: x + 270 = 499 Subtracting 270 from both sides: x = 229 So the length of the last side is 229m.
Expected answer: 229
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 966m, then the length of each side must be 966/3 = 322m. Therefore, the length of each side of the equilateral triangle is 322m.
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 894 inches. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. Let's call the length of each side "x". Then, we can write the perimeter of the triangle as: Perimeter = 3x We are given that the perimeter of the triangle is 894 inches. So, we can set up the equation: 3x = 894 Now, we can solve for "x" by dividing both sides of the equation by 3: x = 894 / 3 x = 298.67 So, the length of each side of the equilateral triangle is 298.67 inches.
Expected answer: 298
Correct? No
Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 891 cm, we can set up the equation: 3s = 891 where s is the length of each side. Solving for s, we get: s = 891 / 3 s = 290.67 cm So, the length of each side of the equilateral triangle is 290.67 cm.
Expected answer: 297
Correct? No
Problem: A triangle has a perimeter of 762 meters. Two sides of these triangle are known to be 122 meters and 245 meters long respectively. Can you calculate the length of the third side?
CodeLlama 7B:
Yes, I can calculate the length of the third side of the triangle. Using the formula for the perimeter of a triangle, we can set up the equation: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. Given that the perimeter of the triangle is 762 meters, we can substitute this value into the equation: 762 = a + b + c Since we know the lengths of two of the sides, we can use the formula for the third side: c = perimeter - a - b Substituting the values we know, we get: c = 762 - 122 - 245 c = 762 - 367 c = 405 Therefore, the length of the third side of the triangle is 405 meters.
Expected answer: 395
Correct? No
Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 411m, we can set up the equation: 3s = 411 where s is the length of one side of the triangle. Solving for s, we get: s = 411 / 3 s = 137.33m So, the length of each side of the equilateral triangle is 137.33m.
Expected answer: 137
Correct? No
Problem: A triangle has three identical sides and the total length of the sides is 72m. What is the length of each side of the triangle?
CodeLlama 7B:
The length of each side of the triangle is 72/3 = <<72/3=24>>24 meters.
Expected answer: 24
Correct? Yes
Problem: A large triangle has a perimeter of 930 meters. Two of its sides measure 537 meters and 68 meters respectively. What is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 930 meters, so we can write: x + 537 + 68 = 930 Simplifying the equation: x + 655 = 930 Subtracting 655 from both sides: x = 275 So the length of the third side is 275 meters.
Expected answer: 325
Correct? No
Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 657 meters, we can set up the equation: 3s = 657 where s is the length of each side. Solving for s, we get: s = 657 / 3 s = 219.33 meters So, the length of each side of the equilateral triangle is 219.33 meters.
Expected answer: 219
Correct? No
Problem: A scalene triangle has a side that measures 368m and another side that measures 230m. If the perimeter of the triangle is 909m, what is the length of the third side?
CodeLlama 7B:
To find the length of the third side of the scalene triangle, we can use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. In this case, we know that the perimeter of the triangle is 909m, and we can set up the equation: 909 = a + b + c We also know that the sum of the lengths of the sides of a scalene triangle is equal to the perimeter of the triangle, so we can write: a + b + c = 909 We also know that the length of one side of the triangle is 368m and the length of the other side is 230m. We can use this information to write: a + b + c = 368 + 230 + c Subtracting 368 + 230 from both sides of the equation gives us: c = 571 So the length of the third side of the scalene triangle is 571m.
Expected answer: 311
Correct? No
Problem: A triangle has a perimeter of 700 m. Two of its sides are 140m and 525m long. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c We know that the perimeter of the triangle is 700 m, so we can set up the equation: a + b + c = 700 We also know that two of the sides are 140 m and 525 m, so we can write: a = 140 b = 525 Now we can substitute these values into the first equation: 140 + b + c = 700 Subtracting 140 from both sides gives us: b + c = 560 Subtracting b from both sides gives us: c = 560 - b Now we can substitute the value of b that we found earlier: c = 560 - 525 = 35 So the length of the third side is 35 m.
Expected answer: 35
Correct? Yes
Problem: A triangle has a perimeter of 915cm. Two of its sides are 484cm and 130cm respectively. What length is the third side of the triangle?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 915cm. Let's call the lengths of the two sides we know, x and y, respectively. We can write the formula for the perimeter as: Perimeter = x + y + z where z is the length of the third side of the triangle. Substituting the values we know for x and y, we get: 915 = 484 + 130 + z Simplifying, we get: 735 = 514 + z Subtracting 514 from both sides, we get: 221 = z So the length of the third side of the triangle is 221cm.
Expected answer: 301
Correct? No
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 120 cm, we can set up the equation: 3s = 120 where s is the length of one side of the triangle. Solving for s, we get: s = 120 / 3 s = 40 So, each side of the equilateral triangle is 40 cm long.
Expected answer: 40
Correct? Yes
Problem: A triangular field has a perimeter of 661m. Two sides of the field are known to be 382m and 151m respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c, where a, b, and c are the lengths of the sides. We know that the perimeter of the field is 661m, so we can set up the equation: a + b + c = 661 We also know that two of the sides are 382m and 151m, so we can write: a = 382 b = 151 Now we can substitute these values into the first equation and solve for c: 382 + 151 + c = 661 Simplifying this equation, we get: 533 + c = 661 Subtracting 533 from both sides gives us: c = 38 So the length of the third side of the triangle is 38m.
Expected answer: 128
Correct? No
Problem: A triangle has a total perimeter of 678 feet. Two of its sides measure 419 feet and 164 feet respectively. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle: P = a + b + c We know that the perimeter of the triangle is 678 feet, so we can set up the equation: a + b + c = 678 We also know that two of the sides measure 419 feet and 164 feet, so we can write: a = 419 b = 164 Now we can substitute these values into the first equation: 419 + b + c = 678 We can solve for c: c = 678 - 419 - b c = 269 - b Now we have an equation that involves only b, so we can substitute any value we like for b. For example, if b = 100, then c = 269 - 100 = 169. So, the length of the third side of the triangle is 169 feet.
Expected answer: 95
Correct? No
Problem: The perimeter of a triangle is 248m. Two of the sides are 186m and 37m long, respectively. What is the length of the remaining side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We know that the perimeter is 248m, so we can set up the equation: a + b + c = 248 We also know that two of the sides are 186m and 37m long, so we can write: a = 186 b = 37 Now we can substitute these values into the equation for the perimeter: 186 + 37 + c = 248 Solving for c, we get: c = 248 - 186 - 37 c = 61 So the length of the remaining side is 61m.
Expected answer: 25
Correct? No
Problem: An equilateral triangle has a perimeter of 246 centimeters. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 246 centimeters, we can set up the equation: 3s = 246 where s is the length of each side. Solving for s, we get: s = 83.5 centimeters So, the length of each side of the equilateral triangle is 83.5 centimeters.
Expected answer: 82
Correct? No
Problem: The total perimeter of a triangular field is 739 meters. Two of its sides measure 180 meters and 338 meters respectively. Find the length of the third side.
CodeLlama 7B:
Let's call the length of the third side "x". We know that the perimeter of the triangle is 739 meters, so we can write: x + x + x = 739 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side: 180 + 338 = x Now we can solve the system of equations: x + x + x = 739 x + 180 = 338 Solving this system, we get: x = 150 So the length of the third side is 150 meters.
Expected answer: 221
Correct? No
Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 684 cm, we can set up the equation: 3s = 684 where s is the length of each side. Solving for s, we get: s = 684 / 3 s = 228 So, the length of each side of the equilateral triangle is 228 cm.
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 537m, we can set up the equation: 3s = 537 where s is the length of one side of the triangle. Solving for s, we get: s = 537 / 3 s = 175.67m So, the length of each side of the equilateral triangle is 175.67m.
Expected answer: 179
Correct? No
Problem: A triangle has a perimeter of 568m. The lengths of two of its sides are 110m and 205m. What is the length of the third side?
CodeLlama 7B:
Let's use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle. We are given that the perimeter of the triangle is 568m, and the lengths of two of its sides are 110m and 205m. We can write this as: Perimeter = 110 + 205 + c where c is the length of the third side. Now, we can solve for c by subtracting 110 and 205 from both sides of the equation: Perimeter - 110 - 205 = c This gives us: 375 = c So, the length of the third side of the triangle is 375m.
Expected answer: 253
Correct? No
Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 942mm, we can set up the equation: 3s = 942 where s is the length of each side. Solving for s, we get: s = 942 / 3 s = 314.67mm So, the length of each side of the equilateral triangle is 314.67mm.
Expected answer: 314
Correct? No
Problem: A triangular garden has one side that is 325 meters long and another that is 15 meters long. The total perimeter of the triangle is 633 meters. What is the length of the third side of the garden?
CodeLlama 7B:
Let's start by using the formula for the perimeter of a triangle: P = a + b + c, where a, b, and c are the lengths of the sides. We know that the perimeter of the triangle is 633 meters, so we can set up the equation: a + b + c = 633 We also know that one side of the triangle is 325 meters long, so we can write: a = 325 We also know that the other side of the triangle is 15 meters long, so we can write: b = 15 Now we can substitute these values into the equation for the perimeter: 325 + 15 + c = 633 Simplifying this equation, we get: 340 + c = 633 Subtracting 340 from both sides gives us: c = 333 So the length of the third side of the triangle is 333 meters.
Expected answer: 293
Correct? No
Problem: An equilateral triangle has a perimeter of 504 meters. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 504 meters, we can set up the equation: 3s = 504 where s is the length of one side of the triangle. Solving for s, we get: s = 504 / 3 s = 168.33 meters So, the length of each side of the equilateral triangle is 168.33 meters.
Expected answer: 168
Correct? No
Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 51 cm, we can set up the equation: 3s = 51 where s is the length of each side. Solving for s, we get: s = 51/3 = 17.33 cm So, the length of each side of the equilateral triangle is 17.33 cm.
Expected answer: 17
Correct? No
Problem: An equilateral triangle has a perimeter of 501 feet. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 501 feet, we can set up the equation: 3s = 501 where s is the length of one side of the triangle. Solving for s, we get: s = 501 / 3 s = 167 feet Therefore, the length of each side of the equilateral triangle is 167 feet.
Expected answer: 167
Correct? Yes
Problem: The perimeter of an equilateral triangle is 411 meters. What is the length of each side of the triangle?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of each side. So, if the perimeter of the triangle is 411 meters, we can set up the equation: Perimeter = 3x where x is the length of each side of the triangle. Solving for x, we get: x = Perimeter / 3 x = 411 / 3 x = 137 meters So, the length of each side of the equilateral triangle is 137 meters.
Expected answer: 137
Correct? Yes
Problem: An equilateral triangle has a perimeter of 114cm. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 114cm, we can set up the equation: 3s = 114 where s is the length of each side. Solving for s, we get: s = 114/3 s = 38.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Expected answer: 38
Correct? No
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to the length of each side times 3. So, if the perimeter of the triangle is 69m, we can set up the equation: 3s = 69 where s is the length of each side. Solving for s, we get: s = 69/3 s = 23 So, the length of each side of the equilateral triangle is 23m.
Expected answer: 23
Correct? Yes
Problem: A triangle has sides of lengths 464m and 377m respectively. If the total perimeter of the triangle is 907m, what is the length of the third side?
CodeLlama 7B:
Let's call the length of the third side x. We know that the perimeter of the triangle is 907m. Perimeter = a + b + c We can set up the equation: a + b + c = 907 We also know that the sum of the lengths of the two shorter sides is equal to the length of the third side. a + b = x We can substitute the value of a and b from the first equation into the second equation: 464 + 377 = x Solving for x, we get: x = 841 So, the length of the third side is 841m.
Expected answer: 66
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
CodeLlama 7B:
To find the length of each side of an equilateral triangle, we can use the fact that the perimeter of an equilateral triangle is equal to three times the length of any side. So, if the perimeter of the triangle is 966m, then the length of each side must be 966/3 = 322m. Therefore, the length of each side of the equilateral triangle is 322m.
Expected answer: 322
Correct? Yes