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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 990/3 = 330 Each side of the equilateral triangle has a length of 330 cm. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 2m + 667m + x where x is the length of the third side. We are given that the perimeter is 997m, so we can set up the equation: 2m + 667m + x = 997 Simplifying the equation: 2m + 667m + x = 997 2m + 667m = 997 - x 2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x - 2m Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667m from both sides: -2m = 997 - x - 667m Adding 667m to both sides: -2m + 667m = 997 - x Subtracting 2m from both sides: 667m = 997 - x Subtracting 667
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 579 / 3 x = 193 Therefore, the length of each side of the equilateral triangle is 193 cm. ### Answer: 193 cm
Expected answer: 193
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 684m Half of perimeter = 684m / 2 = 342m Each side of the equilateral triangle has a length of 342m. ### Answer: 342m
Expected answer: 228
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 503 meters. Let's call the length of the remaining side "x" meters. Then, the perimeter of the triangle can be calculated as follows: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. Since we know that one side of the triangle is 223 meters long and another side is 46 meters long, we can write: Perimeter = 223 + 46 + x We are also given that the perimeter of the triangle is 503 meters, so we can substitute this value into the equation above: 503 = 223 + 46 + x Now, we can solve for x by subtracting 223 and 46 from both sides of the equation: x = 503 - 223 - 46 x = 254 Therefore, the length of the remaining side of the triangle is 254 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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 105m Half of the perimeter = 105m / 2 = 52.5m Each side of the equilateral triangle is 52.5m long. ### Answer: 52.5m
Expected answer: 35
Correct? No
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 306cm Half of perimeter = 306/2 = 153cm Each side of the equilateral triangle is 153cm. ### Answer: 153cm
Expected answer: 102
Correct? No
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 33 cm Half of the perimeter = 33 cm / 2 = 16.5 cm Each side of the equilateral triangle is 16.5 cm long. ### Answer: 16.5 cm
Expected answer: 11
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 861m. We know that two of the sides are 192m and 159m, so we can find the length of the third side by subtracting the sum of these two sides from the perimeter: 861m - (192m + 159m) = 861m - 351m = 510m Therefore, the length of the third side is 510m. ### Answer: 510m
Expected answer: 510
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is equal to the sum of the lengths of all its sides. Since each side is of equal length, the perimeter can be expressed as: Perimeter = 3s where s is the length of one side. Given that the perimeter is 489 cm, we can set up the equation: 3s = 489 Solving for s, we get: s = 489/3 Therefore, the length of one side of the triangle is 489/3 cm. ### Answer: 489/3 cm
Expected answer: 163
Correct? No
Problem: An equilateral triangle has a perimeter of 696 meters. What is the length of each side of this triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 696 meters, so we can substitute this value into the equation: 696 = 3x Now, we can solve for x by dividing both sides by 3: x = 696/3 x = 232 So, the length of each side of the equilateral triangle is 232 meters. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 804m. Let's call the length of the third side "x" meters. We know that the sum of the lengths of all three sides is 804m, so we can write an equation: 180m + 579m + x = 804m Simplifying the equation: 759m + x = 804m Subtracting 759m from both sides: x = 804m - 759m x = 105m Therefore, the length of the third side is 105m.
Expected answer: 45
Correct? No
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 915 / 3 x = 305 Therefore, the length of each side of the equilateral triangle is 305 cm. ### Answer: 305 cm
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 564 cm Half of the perimeter = 564/2 = 282 cm Each side of the equilateral triangle is 282 cm long. ### Answer: 282 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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 594 / 3 x = 198 Therefore, the length of each side of the equilateral triangle is 198 cm. ### Answer: 198 cm
Expected answer: 198
Correct? Yes
Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: 3x = 453 where x is the length of each side of the triangle. Solving for x, we get: x = 453 / 3 x = 151 So, each side of the triangle is 151 cm long. ### Answer: 151 cm
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 13B:
Reasoning: The formula for the perimeter of a triangle is P = a + b + c, where a, b, and c are the lengths of the sides. Since we know the perimeter is 898m, we can set up the equation: P = a + b + c We know that a = 250m and b = 435m, so we can substitute these values into the equation: P = 250 + 435 + c We also know that c is the length of the third side of the triangle, so we can substitute this value into the equation: P = 250 + 435 + c We can simplify the equation by combining like terms: P = 685 + c We know that P = 898m, so we can substitute this value into the equation: 898 = 685 + c We can subtract 685 from both sides of the equation to solve for c: c = 898 - 685 c = 213 Therefore, the length of the third side of the triangle is 213m. ### Answer: 213
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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: 3x = 405 where x is the length of each side. Solving for x, we get: x = 405 / 3 x = 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 13B:
Reasoning: Let's call the length of each side of the equilateral triangle "x". We know that the total perimeter of the triangle is 612 meters. The perimeter of an equilateral triangle is 3x, where x is the length of each side. So, we can set up the equation: 3x = 612 Now, we can solve for x: x = 612 / 3 x = 204 So, the length of each side of the equilateral triangle is 204 meters. ### Answer: 204 meters
Expected answer: 204
Correct? Yes
Problem: An equilateral triangle has a perimeter of 591 cm. Can you find the length of each side of this triangle?
CodeLlama 13B:
Yes, I can find the length of each side of the equilateral triangle. Let's call the length of each side "x". We know that the perimeter of the triangle is equal to the sum of the lengths of all three sides. So, the perimeter of the triangle is: Perimeter = x + x + x = 3x We are given that the perimeter is equal to 591 cm. So, we can set up the equation: 3x = 591 Now, we can solve for "x". x = 591 / 3 x = 197 So, the length of each side of the equilateral triangle is 197 cm.
Expected answer: 197
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 858 / 3 x = 286 Therefore, the length of each side of the equilateral triangle is 286 meters. ### Answer: 286
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half the perimeter. Perimeter = 3x x = 543 / 3 = 181 Each side of the equilateral triangle has a length of 181 meters. ### Answer: 181 meters
Expected answer: 181
Correct? Yes
Problem: A triangle has three equal sides. If the perimeter of the triangle is 255 meters, what is the length of each side?
CodeLlama 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Since the triangle has three equal sides, the perimeter is three times the length of each side. Therefore, we can set up the equation: Perimeter = 3(side) We know that the perimeter is 255 meters, so we can substitute this value into the equation: 255 = 3(side) Now, we can solve for the length of each side: side = 255 / 3 Therefore, the length of each side of the triangle is 85 meters. ### Answer: 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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 570mm, so we can substitute this value into the equation: 570 = 3x Now, we can solve for x by dividing both sides by 3: x = 570/3 x = 190 So, the length of each side of the equilateral triangle is 190mm. ### Answer: 190
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 129m Half of perimeter = 129/2 = 64.5m Each side of the equilateral triangle is 64.5m long. ### Answer: 64.5m
Expected answer: 43
Correct? No
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 858 / 3 x = 286 Therefore, the length of each side of the equilateral triangle is 286 meters. ### Answer: 286 meters
Expected answer: 286
Correct? Yes
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Let's call the length of each side "x". We know that the perimeter of the triangle is 513 km. Perimeter = 3x We can set up an equation using the information given: 3x = 513 Now, we can solve for "x": x = 513 / 3 x = 171 So, each side of the triangle is 171 km long. ### Answer: 171 km
Expected answer: 171
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 828 meters. We know that two sides of the triangle are 105 and 434 meters long. Let's call the third side "x" meters long. 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 sides of the triangle. In this case, we know that "a" and "b" are 105 and 434 meters long, respectively. So, we can substitute these values into the equation: perimeter = a + b + c = 105 + 434 + x We also know that the perimeter is 828 meters. So, we can substitute this value into the equation: 828 = 105 + 434 + x Now, we can solve for "x" by subtracting 105 and 434 from both sides of the equation: 723 = x So, the third side of the triangle is 723 meters long. ### Answer: 723
Expected answer: 289
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 37 + 559 + x where x is the length of the third side. We know that the perimeter is 773 cm, so we can set up the equation: 37 + 559 + x = 773 Solving for x, we get: x = 773 - 37 - 559 = -100 But we know that the length of a side cannot be negative, so there is no solution to this problem. ### Answer: There is no solution.
Expected answer: 177
Correct? No
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 714 / 3 x = 238 Therefore, the length of each side of the equilateral triangle is 238 meters. ### Answer: 238
Expected answer: 238
Correct? Yes
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 13B:
Yes, I can help you with that! Let's call the length of the third side "x". We know that the perimeter of the garden is 792m, so we can write an equation using the formula for the perimeter of a triangle: Perimeter = a + b + c where "a", "b", and "c" are the lengths of the sides of the triangle. In this case, we know that "a" and "b" are 147m and 590m, respectively, so we can write: Perimeter = 147 + 590 + x We also know that the perimeter of the garden is 792m, so we can substitute that value in: 792 = 147 + 590 + x Now we can solve for "x" by subtracting 147 and 590 from both sides: x = 792 - 147 - 590 x = 595 So the length of the third side of the triangle is 595m.
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 871 meters. Let's call the length of the third side "x" meters. Then, the perimeter of the triangle can be written as: Perimeter = a + b + c where "a", "b", and "c" are the lengths of the three sides. We know that one of the sides is 321 meters long, and another is 528 meters long. So, we can write: Perimeter = a + b + c = 321 + 528 + x We also know that the perimeter is 871 meters, so we can substitute that value in: 871 = 321 + 528 + x Now, we can solve for "x" by subtracting 321 and 528 from both sides: x = 871 - 321 - 528 = 871 - 849 = 22 So, the length of the third side is 22 meters. ### Answer: 22
Expected answer: 22
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 991m. We know that two sides of the triangle measure 424m and 246m respectively. Let's call the length of the third side "x". Using the formula for the perimeter of a triangle, we can write: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. In this case, we have: Perimeter = 424 + 246 + x Simplifying the equation, we get: 991 = 424 + 246 + x Subtracting 424 and 246 from both sides, we get: 565 = x Therefore, the length of the third side of the triangle is 565m. ### Answer: 565m
Expected answer: 321
Correct? No
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of one side. Therefore, we can set up the equation: 3x = 936 where x is the length of one side of the triangle. Solving for x, we get: x = 936 / 3 x = 312 So, each side of the triangle is 312 meters long. ### Answer: 312
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 204 + 195 + x where x is the length of the third side. We are given that the perimeter is 721m, so we can set up the equation: 204 + 195 + x = 721 Solving for x, we get: x = 721 - 204 - 195 = 312 Therefore, the length of the third side of the triangle is 312m. ### Answer: 312
Expected answer: 322
Correct? No
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 201m Half of the perimeter = 201m / 2 = 100.5m Each side of the equilateral triangle is 100.5m long. ### Answer: 100.5m
Expected answer: 67
Correct? No
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of one side. Therefore, we can set up the equation: 3s = 756 where s is the length of one side. Solving for s, we get: s = 756/3 s = 252 Therefore, the length of each side of the equilateral triangle is 252 meters.
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 735 + 144 + x where x is the length of the third side. We know that the perimeter is 923m, so we can set up the equation: 735 + 144 + x = 923 Solving for x, we get: x = 923 - 735 - 144 x = 923 - 879 x = 44 Therefore, the length of the third side is 44m.
Expected answer: 44
Correct? Yes
Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 813 cm Half of the perimeter = 813 cm / 2 = 406.5 cm Each side of the equilateral triangle is 406.5 cm long. ### Answer: 406.5 cm
Expected answer: 271
Correct? No
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 834 / 3 x = 278 Therefore, the length of each side of the equilateral triangle is 278 feet. ### Answer: 278 feet
Expected answer: 278
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Since all the sides are equal in length, the perimeter can be expressed as: Perimeter = 3s where s is the length of one side. Given that the perimeter is 105m, we can set up the equation: 3s = 105 Solving for s, we get: s = 105/3 So, the length of one side of the triangle is 105/3 meters. ### Answer: 105/3 meters.
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Since all sides are equal, the perimeter is equal to the sum of the lengths of all sides. Let the length of each side be x. Then, the perimeter of the triangle is: Perimeter = x + x + x = 3x Since the perimeter is given as 195cm, we can set up the equation: 3x = 195 Solving for x, we get: x = 65 Therefore, 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 919m. We know that one of the sides is 350m long and the other side is 154m long. Let's call the length of the third side "x". We can write an equation using the information given: Perimeter = 350 + 154 + x Simplifying the equation: 919 = 350 + 154 + x Subtracting 350 and 154 from both sides: 569 = x Therefore, the length of the third side is 569m. ### Answer: 569
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 13B:
Reasoning: 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. We know that the perimeter is 989m, and we know that two of the sides are 128m and 288m long, so we can set up the equation: 989 = a + b + c where a is the length of the third side. Solving for c, we get: c = 989 - (a + b) Substituting the values we know, we get: c = 989 - (128 + 288) c = 989 - 416 c = 573 Therefore, the length of the third side of the triangle is 573m. ### Answer: 573
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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3 x side length We know that the perimeter is 321 meters, so we can substitute this value into the equation: 321 = 3 x side length Now, we can solve for side length: side length = 321 / 3 side length = 107 meters Therefore, the length of each side of the equilateral triangle is 107 meters. ### Answer: 107 meters
Expected answer: 107
Correct? Yes
Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 258 cm Half of the perimeter = 258/2 = 129 cm Each side of the equilateral triangle is 129 cm long. ### Answer: 129 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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 75m, so we can substitute this value into the equation: 75 = 3x Now, we can solve for x by dividing both sides by 3: x = 75/3 x = 25 So, the length of each side of the equilateral triangle is 25m. ### Answer: 25
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 620 + 80 + x where x is the length of the third side. We know that the perimeter is 979m, so we can set up the equation: 620 + 80 + x = 979 Solving for x, we get: x = 979 - 620 - 80 x = 139 Therefore, the length of the third side is 139m. ### Answer: 139
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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 966 meters, so we can substitute this value into the equation: 3x = 966 Now, we can divide both sides of the equation by 3 to solve for x: x = 966/3 x = 322 So, the length of each side of the equilateral triangle is 322 meters. ### Answer: 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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half the perimeter. Perimeter = 486 cm Half perimeter = 486/2 = 243 cm Each side = 243 cm ### Answer: 243 cm
Expected answer: 162
Correct? No
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 948 / 3 x = 316 Therefore, the length of each side of the equilateral triangle is 316 meters. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 998m. Let's call the length of the third side "x". Then, the perimeter of the triangle is: Perimeter = a + b + c = 252 + 687 + x = 984 + x Since the perimeter is given as 998m, we can set up the equation: 984 + x = 998 Subtracting 984 from both sides gives us: x = 14 Therefore, the length of the third side is 14m.
Expected answer: 59
Correct? No
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 618m Half of perimeter = 618m / 2 = 309m Each side of the equilateral triangle has a length of 309m. ### Answer: 309m
Expected answer: 206
Correct? No
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: 3x = 483 where x is the length of each side. Solving for x, we get: x = 483 / 3 x = 161 So, each side of the equilateral triangle is 161 meters long. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Let's call the length of the third side "x". We know that the perimeter of the triangle is 804m. We also know that one of the sides is 262m long and another is 90m long. So, the perimeter of the triangle can be written as: Perimeter = 262 + 90 + x We are given that the perimeter is 804m, so we can set up the equation: 262 + 90 + x = 804 Solving for x, we get: x = 804 - 262 - 90 x = 442 Therefore, the length of the third side is 442m. ### Answer: 442
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 13B:
Reasoning: 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 is 925m, and we know that two of the sides are 183m and 498m, respectively. So, we can set up the equation: 925 = a + b + c where a is the length of the third side. Solving for c, we get: c = 925 - (a + b) Now, we know that a and b are given, so we can substitute them into the equation: c = 925 - (183 + 498) c = 925 - 681 c = 244 So, the length of the third side is 244m. ### Answer: 244
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 13B:
Reasoning: The total perimeter of a scalene triangle is equal to the sum of the perimeters of its three sides. In this case, the perimeter of the first side is 103 + 103 = 206, the perimeter of the second side is 386 + 386 = 772, and the perimeter of the third side is 573 - 206 - 772 = 164. Therefore, the length of the third side is 164m. ### Answer: 164m
Expected answer: 84
Correct? No
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 330m Half of the perimeter = 330m / 2 = 165m Each side of the equilateral triangle has a length of 165m. ### Answer: 165m
Expected answer: 110
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = 57 + 426 + x where x is the length of the third side. We know that the perimeter is 850m, so we can substitute this value into the equation: 850 = 57 + 426 + x Now, we can solve for x by subtracting 57 and 426 from both sides of the equation: x = 850 - 57 - 426 x = 747 Therefore, the length of the third side is 747m. ### Answer: 747
Expected answer: 367
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 265 + 56 + x where x is the length of the third side. We know that the perimeter is 764m, so we can set up the equation: 265 + 56 + x = 764 Solving for x, we get: x = 764 - 265 - 56 x = 442 Therefore, the length of the third side is 442m. ### Answer: 442
Expected answer: 443
Correct? No
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half the perimeter. Perimeter = 3s where s is the length of each side. Substituting the given value of perimeter, we get: 3s = 723 Dividing both sides by 3, we get: s = 241 Therefore, the length of each side of the equilateral triangle is 241 cm. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 738m. Let's call the length of the third side "x". Then, the perimeter of the triangle can be written as: Perimeter = a + b + c where a, b, and c are the lengths of the three sides. Since we know the lengths of two sides (315m and 100m), we can substitute those values into the equation above: Perimeter = 315 + 100 + x Now, we can solve for x by subtracting the sum of the two known sides from the given perimeter: Perimeter - (315 + 100) = x 738 - 415 = x x = 323 Therefore, the length of the third side of the triangle is 323m.
Expected answer: 323
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 762m. Let's call the length of the third side "x" (in meters). We know that the sum of the lengths of the three sides is equal to the perimeter, so we can write an equation: 131 + 147 + x = 762 Simplifying the equation: 278 + x = 762 Subtracting 278 from both sides: x = 484 Therefore, the length of the third side is 484m. ### Answer: 484
Expected answer: 484
Correct? Yes
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 13B:
Reasoning: Let's call the length of the third side "x". We know that the perimeter of the triangle is equal to the sum of the lengths of all three sides, so we can write: Perimeter = a + b + c where a, b, and c are the lengths of the three sides. We also know that the sum of two of the sides is equal to 472m, so we can write: a + b = 472 Now, we can substitute the value of a + b into the first equation and solve for c: Perimeter = a + b + c Perimeter = a + b + (784 - a - b) Now, we can solve for c: c = 784 - a - b Now, we can substitute the value of a + b into the second equation and solve for a: a + b = 472 a = 472 - b Now, we can substitute the value of a into the third equation and solve for b: c = 784 - (472 - b) - b c = 784 - 472 + b c = 292 + b Now, we can substitute the value of b into the fourth equation and solve for b: 292 + b = 784 - a 292 + b = 784 - (472 - b) 292 + b = 472 + b 292 = b Now, we can substitute the value of b into the fifth equation and solve for a: a = 472 - b a = 472 - 292 a = 180 Now, we can substitute the value of a into the sixth equation and solve for c: c = 784 - a - b c = 784 - 180 - 292 c = 212 Therefore, the length of the third side of the triangle is 212m.
Expected answer: 312
Correct? No
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 543mm Half of perimeter = 543/2 = 271.5mm Each side of the equilateral triangle is 271.5mm long. ### Answer: 271.5mm
Expected answer: 181
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is equal to the sum of the lengths of all three sides. In this case, the perimeter is given as 867m. The first side has a length of 287m, and the second side has a length of 475m. The third side can be found 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. Plugging in the values given, we get: P = 287 + 475 + c Simplifying, we get: P = 762 + c Since the perimeter is given as 867m, we can set up the equation: 762 + c = 867 Subtracting 762 from both sides, we get: c = 105 Therefore, the length of the third side is 105m. ### Answer: 105
Expected answer: 105
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. We know that the perimeter is 934m, and we know that the sum of the lengths of two sides is 838m. Therefore, we can substitute these values into the equation: 934 = a + b + c We also know that one of the sides is 828m and the other is 10m. Therefore, we can substitute these values into the equation: 934 = 828 + 10 + c Now we can solve for c: c = 934 - 828 - 10 c = 934 - 838 c = 96 Therefore, the length of the third side of the triangle is 96m. ### Answer: 96
Expected answer: 96
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 109 + 530 + x where x is the length of the third side. We are given that the perimeter is 677m, so we can set up the equation: 109 + 530 + x = 677 Solving for x, we get: x = 677 - 109 - 530 = -109 But we know that the length of a side cannot be negative, so there is no solution to this equation. ### Answer: There is no solution to this problem.
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 582 / 3 x = 194 Therefore, the length of each side of the equilateral triangle is 194 cm. ### Answer: 194 cm
Expected answer: 194
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. We know that the perimeter is 499m, and we know that one of the sides is 259m long. Let's call that side "a". We also know that one of the other sides is 11m long. Let's call that side "b". We can now write the equation: Perimeter = a + b + c Substituting the values we know, we get: 499 = 259 + 11 + c Simplifying, we get: 279 = c So the length of the last side is 279m. ### Answer: 279
Expected answer: 229
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 966/3 = 322 Each side of the equilateral triangle has a length of 322m. ### Answer: 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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 894 inches, so we can substitute this value into the equation: 894 = 3x Now, we can solve for x by dividing both sides by 3: x = 894 / 3 x = 298 So, the length of each side of the equilateral triangle is 298 inches. ### Answer: 298 inches
Expected answer: 298
Correct? Yes
Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 891 / 3 x = 297 Therefore, the length of each side of the equilateral triangle is 297 cm. ### Answer: 297 cm
Expected answer: 297
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 762 meters. We know that two sides of the triangle are 122 meters and 245 meters long, respectively. Let's call these sides "a" and "b". We can use the formula for the perimeter of a triangle, which is: Perimeter = a + b + c where "c" is the length of the third side. Plugging in the values we know, we get: Perimeter = 122 + 245 + c Simplifying, we get: Perimeter = 367 + c Since we know that the perimeter is 762 meters, we can set up the equation: 367 + c = 762 Subtracting 367 from both sides, we get: c = 762 - 367 c = 395 Therefore, the length of the third side of the triangle is 395 meters.
Expected answer: 395
Correct? Yes
Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: 3x = 411 where x is the length of each side of the triangle. Solving for x, we get: x = 411/3 Therefore, the length of each side of the triangle is 411/3 meters. ### Answer: 411/3 meters
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 13B:
Reasoning: The sum of the lengths of the three sides of a triangle is equal to the perimeter of the triangle. Since the perimeter of the triangle is 72m, we can set up the equation: a + b + c = 72 where a, b, and c are the lengths of the sides of the triangle. Since the triangle has three identical sides, we can let a = b = c. Substituting this into the equation above, we get: a + a + a = 72 Simplifying this equation, we get: 3a = 72 Dividing both sides by 3, we get: a = 24 Therefore, the length of each side of the triangle is 24m. ### Answer: 24
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 13B:
Reasoning: 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 is 930 meters, and we know that two of the sides are 537 meters and 68 meters. We can use these values to find the length of the third side: Perimeter = 537 + 68 + c We can solve for c by subtracting the known values from the perimeter: c = Perimeter - (537 + 68) c = 930 - (537 + 68) c = 930 - 625 c = 305 Therefore, the length of the third side of the triangle is 305 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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 657 / 3 x = 219 Therefore, the length of each side of the equilateral triangle is 219 meters. ### Answer: 219 meters
Expected answer: 219
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 909m. Let's call the length of the third side "x". Then, the perimeter of the triangle can be written as: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. Since we know that the perimeter is 909m, we can set up the equation: a + b + c = 909 where a and b are the lengths of the two known sides, and c is the length of the third side. We are also given that the first side has a length of 368m and the second side has a length of 230m. So, we can substitute these values into the equation: 368 + 230 + x = 909 Simplifying the equation, we get: 598 + x = 909 Subtracting 598 from both sides, we get: x = 311 Therefore, the length of the third side is 311m. ### Answer: 311
Expected answer: 311
Correct? Yes
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 140 + 525 + x where x is the length of the third side. We know that the perimeter is 700 m, so we can set up the equation: 140 + 525 + x = 700 Solving for x, we get: x = 700 - 140 - 525 = 105 Therefore, the length of the third side is 105 m. ### Answer: 105
Expected answer: 35
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 484 + 130 + x where x is the length of the third side. We are given that the perimeter is 915cm, so we can set up the equation: 484 + 130 + x = 915 Solving for x, we get: x = 915 - 484 - 130 x = 915 - 614 x = 301 Therefore, the length of the third side of the triangle is 301cm. ### Answer: 301
Expected answer: 301
Correct? Yes
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is half the perimeter. Perimeter = 120 cm Half the perimeter = 120 cm / 2 = 60 cm Each side of the triangle = 60 cm ### Answer: 60 cm
Expected answer: 40
Correct? No
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. We are given that the perimeter is 661m, and we know that two sides are 382m and 151m. Therefore, we can substitute these values into the equation: 661 = a + b + c where a is the length of the side opposite the 382m side, and b is the length of the side opposite the 151m side. Solving for c, we get: c = 661 - (a + b) Substituting the values we know, we get: c = 661 - (382 + 151) c = 661 - 533 c = 128 Therefore, the length of the third side of the triangle is 128m.
Expected answer: 128
Correct? Yes
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 13B:
Reasoning: The total perimeter of a triangle is equal to the sum of the lengths of all its sides. Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. In this case, the total perimeter is given as 678 feet. We know that two of the sides of the triangle measure 419 feet and 164 feet respectively. Let's call the length of the third side "x" feet. Then, we can set up the equation: a + b + c = 678 where a = 419, b = 164, and c = x. Solving for x, we get: x = 678 - 419 - 164 = 103 Therefore, the length of the third side of the triangle is 103 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Perimeter = 186 + 37 + x where x is the length of the remaining side. We know that the perimeter is 248m, so we can set up the equation: 186 + 37 + x = 248 Solving for x, we get: x = 248 - 186 - 37 = 24 Therefore, the length of the remaining side is 24m. ### Answer: 24
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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half the perimeter. Perimeter = 246 cm Half perimeter = 246/2 = 123 cm Each side = 123 cm ### Answer: 123 cm
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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + c where a, b, and c are the lengths of the sides of the triangle. We are given that the perimeter is 739 meters, and we know that two of the sides are 180 meters and 338 meters respectively. Therefore, we can substitute these values into the equation: Perimeter = a + b + c = 180 + 338 + c = 518 + c We are also given that the perimeter is 739 meters, so we can substitute this value into the equation: 518 + c = 739 Solving for c, we get: c = 739 - 518 = 221 Therefore, the length of the third side of the triangle is 221 meters. ### Answer: 221
Expected answer: 221
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 684cm Half of perimeter = 684/2 = 342cm Each side of the equilateral triangle is 342cm long. ### Answer: 342cm
Expected answer: 228
Correct? No
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 537/3 x = 179 Therefore, the length of each side of the equilateral triangle is 179m. ### Answer: 179
Expected answer: 179
Correct? Yes
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 13B:
Reasoning: 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 is 568m, and we know that the lengths of two of the sides are 110m and 205m. So, we can set up the equation: 568 = a + b + c where a is the length of the side opposite the angle that is not 110m, and b is the length of the side opposite the angle that is not 205m. Solving for c, we get: c = 568 - (a + b) Substituting the values we know, we get: c = 568 - (110 + 205) c = 568 - 315 c = 253 So, the length of the third side is 253m. ### Answer: 253
Expected answer: 253
Correct? Yes
Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 942 / 3 x = 314.67 Each side of the equilateral triangle has a length of 314.67mm. ### Answer: 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 13B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is given as 633 meters. Let's call the length of the third side "x" meters. The perimeter of the triangle can be calculated as follows: Perimeter = a + b + c where "a", "b", and "c" are the lengths of the sides of the triangle. Since we know that the length of one side is 325 meters and the length of the other side is 15 meters, we can write: Perimeter = 325 + 15 + x Simplifying the equation, we get: Perimeter = 340 + x Since we know that the perimeter is 633 meters, we can substitute this value into the equation: 633 = 340 + x Subtracting 340 from both sides gives us: x = 293 Therefore, the length of the third side of the garden is 293 meters. ### Answer: 293
Expected answer: 293
Correct? Yes
Problem: An equilateral triangle has a perimeter of 504 meters. What is the length of each side of the triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 504 meters, so we can substitute this value into the equation: 504 = 3x Now, we can solve for x by dividing both sides by 3: x = 504/3 x = 168 meters So, the length of each side of the equilateral triangle is 168 meters. ### Answer: 168 meters
Expected answer: 168
Correct? Yes
Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 51/3 x = 17 Therefore, the length of each side of the equilateral triangle is 17 cm. ### Answer: 17 cm
Expected answer: 17
Correct? Yes
Problem: An equilateral triangle has a perimeter of 501 feet. What is the length of each side of the triangle?
CodeLlama 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 501 feet, so we can substitute this value into the equation: 501 = 3x Now, we can solve for x by dividing both sides of the equation by 3: x = 501/3 x = 167 So, the length of each side of the equilateral triangle is 167 feet. ### Answer: 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 13B:
Reasoning: The perimeter of an equilateral triangle is equal to 3 times the length of each side. Therefore, we can set up the equation: Perimeter = 3x where x is the length of each side. We know that the perimeter is 411 meters, so we can substitute this value into the equation: 411 = 3x Now, we can solve for x by dividing both sides by 3: x = 411/3 x = 137 meters Therefore, 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 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 114cm Half of perimeter = 114/2 = 57cm Each side of the equilateral triangle is 57cm long. ### Answer: 57cm
Expected answer: 38
Correct? No
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 69/3 = 23 Each side of the equilateral triangle has a length of 23 meters. ### Answer: 23
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 13B:
Reasoning: The formula for the perimeter of a triangle is P = a + b + c, where a, b, and c are the lengths of the sides. In this case, the perimeter of the triangle is 907m, and the lengths of the two sides are 464m and 377m, respectively. We can set up an equation using the formula for the perimeter of a triangle: P = a + b + c where a, b, and c are the lengths of the sides. Substituting the values given in the problem, we get: P = 464 + 377 + c Simplifying, we get: P = 841 + c Since the perimeter of the triangle is 907m, we can set up an equation to solve for c: 841 + c = 907 Subtracting 841 from both sides, we get: c = 166 Therefore, the length of the third side of the triangle is 166m. ### Answer: 166
Expected answer: 66
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
CodeLlama 13B:
Reasoning: An equilateral triangle has all sides of equal length. Therefore, the length of each side is equal to half of the perimeter. Perimeter = 3x x = 966/3 = 322 Each side of the equilateral triangle has a length of 322m. ### Answer: 322m
Expected answer: 322
Correct? Yes