DeepSeek 67B on 3.MD.D.8-triangle
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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 990 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 990 cm / 3 Length of each side = 330 cm Each side of the equilateral triangle is 330 cm long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, we can write the equation as: 2 + 667 + x = 997 Now, we can solve for x: x = 997 - 2 - 667 x = 328 The length of the third side is 328m. ### Answer: 328
Expected answer: 328
Correct? Yes
Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 579 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 579 cm / 3 Length of each side = 193 cm Each side of the equilateral triangle is 193 cm long.
Expected answer: 193
Correct? Yes
Problem: An equilateral triangle has a perimeter of 684m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 684m. The number of sides in an equilateral triangle is 3. So, the length of each side is 684m / 3 = 228m. Answer: 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?
DeepSeek 67B:
Reasoning: Let's denote the length of the remaining side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation: 223 + 46 + x = 503 Solving for x: x = 503 - 223 - 46 x = 234 The length of the remaining side is 234 meters. ### Answer: 234
Expected answer: 234
Correct? Yes
Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 105m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 105m / 3 Length of each side = 35m Each side of the equilateral triangle is 35m long.
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 306 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 306 cm / 3 Length of each side = 102 cm Each side of the equilateral triangle is 102 cm long.
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 33 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 33 cm / 3 Length of each side = 11 cm Each side of the equilateral triangle is 11 cm long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 192m + 159m + x = 861m Now, we can solve for x: 351m + x = 861m Subtract 351m from both sides: x = 861m - 351m x = 510m The length of the third side is 510m. ### Answer: 510
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?
DeepSeek 67B:
Reasoning: If the triangle has equal sides, it is an equilateral triangle. In an equilateral triangle, all sides are equal in length. Let's denote the length of one side as x. Since there are three equal sides, the perimeter of the triangle is 3x. We know that the perimeter is 489 centimeters, so we can set up the equation: 3x = 489 To find the length of one side, we need to solve for x: x = 489 / 3 x = 163 The length of one side is 163 centimeters. ### Answer: 163
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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 696 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 696 meters / 3 Length of each side = 232 meters Each side of the equilateral triangle is 232 meters long.
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?
DeepSeek 67B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 804m. We know the lengths of two sides: 180m and 579m. Let's denote the length of the third side as x. The perimeter of the triangle is the sum of the lengths of all its sides, so we can write the equation: 180m + 579m + x = 804m Let's solve for x: 759m + x = 804m To isolate x, we subtract 759m from both sides of the equation: 759m - 759m + x = 804m - 759m x = 45m The length of the third side is 45m. ### Answer: 45
Expected answer: 45
Correct? Yes
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 915 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 915 cm / 3 Length of each side = 305 cm Each side of the equilateral triangle is 305 cm long.
Expected answer: 305
Correct? Yes
Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 564 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 564 cm / 3 Length of each side = 188 cm Each side of the equilateral triangle is 188 cm long.
Expected answer: 188
Correct? Yes
Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 594 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 594 cm / 3 Length of each side = 198 cm Each side of the equilateral triangle is 198 cm long.
Expected answer: 198
Correct? Yes
Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 453 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 453 cm / 3 = 151 cm Each side of the equilateral triangle is 151 cm long. ### Answer: 151
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. According to the given information, we have: 250m + 435m + x = 898m Solving for x: x = 898m - (250m + 435m) x = 898m - 685m x = 213m So, 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the total perimeter by the number of sides. Solution: The length of each side is 405 cm / 3 = <<405/3=135>>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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the total perimeter by the number of sides. Solution: The total perimeter of the equilateral triangle is 612 meters. Since it has three equal sides, we can divide the total perimeter by 3 to find the length of each side. Length of each side = Total perimeter / Number of sides Length of each side = 612 meters / 3 Length of each side = 204 meters So, the length of each side of the equilateral triangle is 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 591 cm. Since there are three equal sides, we can divide the perimeter by 3 to find the length of each side. 591 cm / 3 = 197 cm Each side of the equilateral triangle is 197 cm long.
Expected answer: 197
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The length of each side is 858m / 3 = <<858/3=286>>286m. ### 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 543 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 543 meters / 3 Length of each side = 181 meters Each side of the equilateral triangle is 181 meters long.
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?
DeepSeek 67B:
Reasoning: If a triangle has three equal sides, it is an equilateral triangle. The perimeter of a triangle is the sum of the lengths of its sides. Let's denote the length of each side as x. Since the triangle is equilateral, all three sides have the same length. The perimeter of the triangle is given as 255 meters. So, the equation for the perimeter is: x + x + x = 255 Let's simplify and solve for x: 3x = 255 To isolate x, we divide both sides of the equation by 3: 3x / 3 = 255 / 3 x = 85 The length of each side is 85 meters. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 570mm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 570mm / 3 Length of each side = 190mm Each side of the equilateral triangle is 190mm long.
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 129m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 129m / 3 Length of each side = 43m Each side of the equilateral triangle is 43m long.
Expected answer: 43
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 858 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 858 meters / 3 Length of each side = 286 meters Each side of the equilateral triangle is 286 meters long.
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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the triangle is 513 km, and since it's an equilateral triangle, we can divide the perimeter by 3 to find the length of each side. 513 km � 3 = 171 km Each side of the equilateral triangle is 171 km long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of the lengths of all three sides. Therefore, we can write the equation as: 105 + 434 + x = 828 Now, we can solve for x: x = 828 - 105 - 434 x = 299 So, the length of the third side of the field is 299 meters. ### Answer: 299
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?
DeepSeek 67B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 773 cm. We know the lengths of two sides, which are 37 cm and 559 cm. Let's denote the length of the third side as x. We can set up the equation as follows: Perimeter = Side 1 + Side 2 + Side 3 773 = 37 + 559 + x Now, we can solve for x: 773 = 616 + x x = 773 - 616 x = 157 The length of the third side is 157 cm. ### Answer: 157
Expected answer: 177
Correct? No
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 714m. The number of sides in an equilateral triangle is 3. So, the length of each side is 714m / 3 = 238m. Answer: The length of each side of the equilateral triangle is 238m.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of all its sides. Therefore, we can write the equation as: 147 + 590 + x = 792 Solving for x: x = 792 - 147 - 590 x = 75 The length of the third side is 75m.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all three sides. So, we can write the equation as: 321 + 528 + x = 871 Solving for x: x = 871 - 321 - 528 x = 24 The length of the third side is 24 meters. ### Answer: 24
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.
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. Since the perimeter of a triangle is the sum of all its sides, we can write the equation as: 424 + 246 + x = 991 Solving for x: x = 991 - 424 - 246 x = 321 The length of the third side of the triangle is 321m. ### Answer: 321
Expected answer: 321
Correct? Yes
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 936m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 936m � 3 = 312m Each side of the equilateral triangle is 312m 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?
DeepSeek 67B:
Reasoning: Let's denote the lengths of the two given sides as a and b, and the length of the unknown side as c. We know that a = 204m, b = 195m, and the perimeter of the triangle is 721m. The perimeter of a triangle is the sum of the lengths of all its sides, so we can write the equation: a + b + c = perimeter Now, we can plug in the given values: 204 + 195 + c = 721 Now, we can solve for c: c = 721 - (204 + 195) c = 721 - 399 c = 322 So, the length of the third side of the triangle is 322m. ### Answer: 322
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 201m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 201m / 3 Length of each side = 67m Each side of the equilateral triangle is 67m long.
Expected answer: 67
Correct? Yes
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 756m. Since it has three equal sides, we can divide the perimeter by 3 to find the length of each side. 756m � 3 = 252m Each side of the equilateral triangle is 252m long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 735m + 144m + x = 923m Solving for x: x = 923m - 735m - 144m x = 44m The length of the third side is 44m. ### Answer: 44
Expected answer: 44
Correct? Yes
Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 813 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 813 cm / 3 Length of each side = 271 cm Each side of the equilateral triangle is 271 cm long.
Expected answer: 271
Correct? Yes
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 834 feet. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 834 feet / 3 = 278 feet Each side of the equilateral triangle is 278 feet long.
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?
DeepSeek 67B:
Reasoning: If all sides of a triangle are equal in length, then it is an equilateral triangle. The perimeter of an equilateral triangle is the sum of the lengths of all its sides. So, if the perimeter of the triangle is 105m, and all sides are equal, then each side is 105/3 = 35m. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A triangle has a perimeter of 195cm. Given that all sides of the triangle are equal, what is the length of each side?
DeepSeek 67B:
Reasoning: If all sides of the triangle are equal, then each side has the same length. Let's denote the length of each side as x. Since the perimeter of the triangle is 195 cm, the sum of the lengths of all three sides is equal to 195 cm. Therefore, we can write the equation: x + x + x = 195 Simplifying the equation, we get: 3x = 195 Now, we can solve for x by dividing both sides of the equation by 3: x = 195 / 3 x = 65 So, the length of each side of the triangle is 65 cm. ### Answer: 65
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, we can write the equation as: 350 + 154 + x = 919 Now, we can solve for x: x = 919 - 350 - 154 x = 415 The length of the third side is 415m.
Expected answer: 415
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 128m + 288m + x = 989m Now, we can solve for x: 416m + x = 989m Subtract 416m from both sides: x = 989m - 416m x = 573m The length of the third side 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the triangle is 321 meters, and since it is an equilateral triangle, all sides are equal. Therefore, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 321 meters / 3 Length of each side = 107 meters So, the length of each side of the triangle is 107 meters. ### Answer: 107
Expected answer: 107
Correct? Yes
Problem: An equilateral triangle has a perimeter of 258 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 258 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 258 cm / 3 Length of each side = 86 cm Each side of the equilateral triangle is 86 cm long.
Expected answer: 86
Correct? Yes
Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 75m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 75m / 3 Length of each side = 25m Each side of the equilateral triangle is 25m long.
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?
DeepSeek 67B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. Let's denote the length of the third side as x. So, the perimeter of the triangle is 620m + 80m + x = 979m. Solution: x = 979m - (620m + 80m) x = 979m - 700m x = 279m The length of the third side is 279m.
Expected answer: 279
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 966 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 966 meters / 3 Length of each side = 322 meters Each side of the equilateral triangle is 322 meters long.
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 486 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 486 cm / 3 Length of each side = 162 cm Each side of the equilateral triangle is 162 cm long.
Expected answer: 162
Correct? Yes
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 948 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 948 meters / 3 Length of each side = 316 meters Each side of the equilateral triangle is 316 meters long.
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?
DeepSeek 67B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 998m. We know the lengths of two sides, so we can find the length of the third side by subtracting the sum of the known sides from the perimeter. Solution: Perimeter = 998m First side = 252m Second side = 687m Third side = Perimeter - (First side + Second side) Third side = 998m - (252m + 687m) Third side = 998m - 939m Third side = 59m The length of the third side is 59m.
Expected answer: 59
Correct? Yes
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 618m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 618m / 3 Length of each side = 206m Each side of the equilateral triangle is 206m long.
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 483 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 483 meters / 3 = 161 meters Each side of the equilateral triangle is 161 meters long. ### Answer: 161
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, we can write the equation as: 262m + 90m + x = 804m Now, we can solve for x: 352m + x = 804m Subtract 352m from both sides: x = 804m - 352m x = 452m The length of the third side is 452m. ### Answer: 452
Expected answer: 452
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation: 183m + 498m + x = 925m Now, we can solve for x: x = 925m - (183m + 498m) x = 925m - 681m x = 244m 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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. According to the given information, we have: 103 + 386 + x = 573 Now, we can solve for x: x = 573 - 103 - 386 x = 94 So, the length of the third side is 94m. ### Answer: 94
Expected answer: 84
Correct? No
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The length of each side is 330m / 3 = <<330/3=110>>110m. ### Answer: 110
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?
DeepSeek 67B:
Reasoning: Let's denote the lengths of the two given sides as a and b, and the length of the unknown side as c. We know that the perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation: a + b + c = perimeter We are given the values of a and b, and the perimeter, so we can substitute these values into the equation: 57 + 426 + c = 850 Now, we can solve for c: c = 850 - (57 + 426) c = 850 - 483 c = 367 So, the length of the third side is 367 meters. ### Answer: 367
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 265m + 56m + x = 764m Solving for x: x = 764m - 265m - 56m x = 443m The length of the third side is 443m.
Expected answer: 443
Correct? Yes
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 723 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 723 cm / 3 Length of each side = 241 cm Each side of the equilateral triangle is 241 cm long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, we can write the equation as: 315 + 100 + x = 738 Solving for x: x = 738 - 315 - 100 x = 323 The length of the third side is 323m. ### Answer: 323
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 131m + 147m + x = 762m Now, we can solve for x: 278m + x = 762m Subtract 278m from both sides: x = 762m - 278m x = 484m 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?
DeepSeek 67B:
Reasoning: Let's denote the sides of the triangle as a, b, and c. We know that the perimeter of the triangle is the sum of all three sides, so a + b + c = 784. We also know that the sum of two sides is 472, so a + b = 472. Now we can solve for the third side, c, by subtracting the sum of the two known sides from the perimeter: c = 784 - (a + b) c = 784 - 472 c = 312 So, the length of the third side is 312 meters.
Expected answer: 312
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 543mm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 543mm / 3 Length of each side = 181mm Each side of the equilateral triangle is 181mm long.
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?
DeepSeek 67B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 867m. Let's denote the length of the third side as x. The sum of the lengths of the first two sides is 287m + 475m = 762m. The perimeter of the triangle is the sum of the lengths of all its sides, so we can write the equation as: 762m + x = 867m Now, we can solve for x: x = 867m - 762m x = 105m 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?
DeepSeek 67B:
Reasoning: Let's denote the lengths of the two known sides as a and b, and the length of the unknown side as c. We know that a = 828m and b = 10m. The perimeter of a triangle is the sum of the lengths of all its sides, so we can write the equation: a + b + c = 934 Now, we can substitute the known values of a and b into the equation: 828 + 10 + c = 934 Next, we can simplify the equation by combining like terms: 838 + c = 934 Now, we can solve for c by subtracting 838 from both sides of the equation: c = 934 - 838 c = 96 So, the length of the third side (c) is 96 meters.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 109 + 530 + x = 677 Solving for x: x = 677 - 109 - 530 x = 138 The length of the third side is 138m. ### Answer: 138
Expected answer: 38
Correct? No
Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 582 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 582 cm / 3 Length of each side = 194 cm Each side of the equilateral triangle is 194 cm long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the last side as x. We know that the perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 259m + 11m + x = 499m Now, we can solve for x: x = 499m - 259m - 11m x = 239m So, the length of the last side is 239m.
Expected answer: 229
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 966m. The number of sides in an equilateral triangle is 3. So, the length of each side is 966m / 3 = 322m. Answer: 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 894 inches. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 894 inches / 3 = 298 inches Each side of the equilateral triangle is 298 inches long.
Expected answer: 298
Correct? Yes
Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 891 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 891 cm / 3 Length of each side = 297 cm Each side of the equilateral triangle is 297 cm long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of the lengths of all three sides. Therefore, we can write the equation as: 122 + 245 + x = 762 Solving for x: x = 762 - 122 - 245 x = 395 The length of the third side 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 411m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 411m / 3 Length of each side = 137m Each side of the equilateral triangle is 137m long.
Expected answer: 137
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Since the triangle has three identical sides, we can divide the total length of the sides by 3 to find the length of each side. Solution: The length of each side of the triangle is 72m / 3 = <<72/3=24>>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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation: 537 + 68 + x = 930 Solving for x: x = 930 - 537 - 68 x = 325 The length of the third side is 325 meters. ### Answer: 325
Expected answer: 325
Correct? Yes
Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 657 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 657 meters / 3 Length of each side = 219 meters Each side of the equilateral triangle is 219 meters long.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 368m + 230m + x = 909m Solving for x: x = 909m - 368m - 230m x = 311m The length of the third side is 311m.
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 140 + 525 + x = 700 Solving for x: x = 700 - 140 - 525 x = 75 The length of the third side is 75 m. ### Answer: 75
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 484cm + 130cm + x = 915cm Solving for x: x = 915cm - 484cm - 130cm x = 299cm The length of the third side of the triangle is 299cm. ### Answer: 299
Expected answer: 301
Correct? No
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 120 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 120 cm / 3 = 40 cm 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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. Since the field is a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. According to the given information, we have: 382m + 151m + x = 661m Now, we can solve for x: x = 661m - (382m + 151m) x = 661m - 533m x = 128m So, the length of the third side is 128 meters. ### Answer: 128
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, the perimeter of this triangle is 419 + 164 + x = 678. Solution: To find the length of the third side, we can subtract the sum of the lengths of the other two sides from the total perimeter: x = 678 - (419 + 164) x = 678 - 583 x = 95 The length of the third side is 95 feet. ### Answer: 95
Expected answer: 95
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the remaining side as x. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation as: 186m + 37m + x = 248m Solving for x: x = 248m - 186m - 37m x = 25m The length of the remaining side is 25m. ### Answer: 25
Expected answer: 25
Correct? Yes
Problem: An equilateral triangle has a perimeter of 246 centimeters. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 246 centimeters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 246 cm / 3 Length of each side = 82 cm Each side of the equilateral triangle is 82 centimeters long.
Expected answer: 82
Correct? Yes
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.
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. The perimeter of a triangle is the sum of the lengths of all its sides. So, we can write the equation as: 180 + 338 + x = 739 Now, we can solve for x. Solution: 180 + 338 + x = 739 518 + x = 739 x = 739 - 518 x = 221 The length of the third side 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 684 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 684 cm / 3 Length of each side = 228 cm Each side of the equilateral triangle is 228 cm long.
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 537m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 537m / 3 Length of each side = 179m Each side of the equilateral triangle is 179m long.
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?
DeepSeek 67B:
Reasoning: Let's denote the lengths of the two known sides as a and b, and the length of the unknown side as c. We know that a = 110m, b = 205m, and the perimeter of the triangle is 568m. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can write the equation: a + b + c = perimeter Substituting the given values, we get: 110 + 205 + c = 568 Now, we need to solve for c: 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 942mm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 942mm / 3 Length of each side = 314mm Each side of the equilateral triangle is 314mm long.
Expected answer: 314
Correct? Yes
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?
DeepSeek 67B:
Reasoning: Let's denote the length of the third side as x. We know that the perimeter of a triangle is the sum of all its sides. Therefore, we can write the equation as: 325 + 15 + x = 633 Solving for x: x = 633 - 325 - 15 x = 293 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 504 meters. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 504 meters / 3 Length of each side = 168 meters Each side of the equilateral triangle is 168 meters long.
Expected answer: 168
Correct? Yes
Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 51 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 51 cm / 3 Length of each side = 17 cm Each side of the equilateral triangle is 17 cm long.
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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 501 feet. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. 501 feet / 3 = 167 feet Each side of the equilateral triangle is 167 feet long. ### Answer: 167
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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 411 meters. The number of sides in an equilateral triangle is 3. So, the length of each side is 411/3 = 137 meters. Answer: The length of each side of the 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?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 114 cm. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 114 cm / 3 Length of each side = 38 cm Each side of the equilateral triangle is 38 cm long.
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 69m. Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Length of each side = Perimeter / Number of sides Length of each side = 69m / 3 Length of each side = 23m Each side of the equilateral triangle is 23m long.
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?
DeepSeek 67B:
Reasoning: Let's denote the lengths of the sides of the triangle as a, b, and c. We know that a = 464m, b = 377m, and the perimeter of the triangle is 907m. The perimeter of a triangle is the sum of the lengths of its sides, so we can write the equation: a + b + c = perimeter Substituting the given values, we get: 464 + 377 + c = 907 Now, we can solve for c: c = 907 - (464 + 377) c = 907 - 841 c = 66 So, the length of the third side is 66m. ### Answer: 66
Expected answer: 66
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
DeepSeek 67B:
Reasoning: An equilateral triangle has three equal sides. To find the length of each side, we can divide the perimeter by the number of sides. Solution: The perimeter of the equilateral triangle is 966m. The number of sides in an equilateral triangle is 3. So, the length of each side is 966m / 3 = 322m. Answer: The length of each side of the equilateral triangle is 322m.
Expected answer: 322
Correct? Yes