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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 990/3 = <<990/3=330>>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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation \( 2 + 667 + x = 997 \). Solving for \( x \): \[ 669 + x = 997 \] \[ x = 997 - 669 \] \[ x = 328 \] Therefore, the length of the third side is 328 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 579 cm / 3 = <<579/3=193>>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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 684m / 3 = <<684/3=228>>228m. ### Answer: 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the remaining side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 223 + 46 + x = 503 \] Solving for \( x \): \[ x = 503 - 223 - 46 = 234 \] So, 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 105m / 3 = <<105/3=35>>35m. ### Answer: 35m
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since an equilateral triangle has all sides equal, the perimeter is given by \( 3x = 306 \) cm. Dividing both sides by 3, we get \( x = 306/3 = 102 \) cm. Therefore, the length of each side of the equilateral triangle is \(\boxed{102}\) cm. ### Answer: 102 cm.
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 33 cm / 3 = <<33/3=11>>11 cm. ### Answer: 11 cm.
Expected answer: 11
Correct? Yes
Problem: A triangle has a perimeter of 861m. Two of the sides are known to be 192m and 159m in length. Can you find the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be x meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: 192 + 159 + x = 861 Solving for x: x = 861 - 192 - 159 x = 510 Therefore, the length of the third side is 510 meters. ### 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?
GPT-3.5 Turbo:
Let the length of one side of the triangle be \( x \) centimeters. Since all three sides are of equal length, the perimeter is given by \( 3x = 489 \) which implies \( x = \frac{489}{3} = 163 \) 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, the perimeter is the sum of all three sides. Let \( s \) be the length of each side. Therefore, we have \( 3s = 696 \) meters. Solving for \( s \), we get \( s = \frac{696}{3} = 232 \) 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides: \[ 180 + 579 + x = 804 \] \[ x = 804 - 180 - 579 \] \[ x = 45 \] Therefore, the length of the third side is 45 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 915/3 = <<915/3=305>>305 cm long. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = Perimeter / 3 = 564 cm / 3 = <<564/3=188>>188 cm. ### Answer: 188 cm.
Expected answer: 188
Correct? Yes
Problem: An equilateral triangle has a perimeter of 594 cm. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 594/3 = <<594/3=198>>198 cm long. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 453/3 = <<453/3=151>>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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \( 250 + 435 + x = 898 \) Solving for \( x \): \( x = 898 - 250 - 435 = 213 \) Therefore, the length of the third side of the triangle is 213 meters. ### 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?
GPT-3.5 Turbo:
Sure! Since an equilateral triangle has all sides of equal length, we can divide the total perimeter by 3 to find the length of each side. 405 cm / 3 = 135 cm Therefore, each side of the equilateral triangle is 135 cm long. ### Answer: 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) meters. Since the triangle is equilateral, all sides are of equal length. Therefore, the total perimeter is given by \( 3x = 612 \) meters. Solving for \( x \), we have: \[ 3x = 612 \] \[ x = \frac{612}{3} \] \[ x = 204 \text{ meters} \] Therefore, each side of the equilateral triangle is 204 meters long. ### 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since an equilateral triangle has all sides of equal length, the perimeter is given by \( 3x = 591 \) cm. Solving for \( x \), we have \( x = \frac{591}{3} = 197 \) cm. ### Answer: \( 197 \) cm.
Expected answer: 197
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = 858m / 3 = <<858/3=286>>286m. ### Answer: 286m
Expected answer: 286
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543 meters. What is the length of each of its sides?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) meters. Since an equilateral triangle has three equal sides, the perimeter is given by \( 3x = 543 \) meters. Solving for \( x \): \[ 3x = 543 \] \[ x = \frac{543}{3} \] \[ x = 181 \text{ meters} \] Therefore, the length of each side of the equilateral triangle is \(\boxed{181}\) 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?
GPT-3.5 Turbo:
Let the length of each side of the triangle be x meters. Since all three sides are equal, the perimeter is given by 3x = 255. Dividing both sides by 3, we get x = 255/3 = 85. Therefore, each side of the triangle is 85 meters long. ### 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.
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) mm. Since an equilateral triangle has all sides of equal length, the perimeter is given by \( 3x = 570 \) mm. Solving for \( x \), we have \( x = \frac{570}{3} = 190 \) mm. ### Answer: Each side of the equilateral triangle is 190 mm.
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 129m / 3 = <<129/3=43>>43m. ### Answer: 43m.
Expected answer: 43
Correct? Yes
Problem: An equilateral triangle has a perimeter of 858 meters. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 858/3 = <<858/3=286>>286 meters long. ### 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be x km. Since the triangle is equilateral, all three sides are of equal length. Therefore, the perimeter of the triangle is 3x km. Given that the perimeter is 513 km, we have: 3x = 513 Solving for x: x = 513/3 x = 171 Therefore, each side of the equilateral 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 105 + 434 + x = 828 \] Solving for \( x \): \[ x = 828 - 105 - 434 = 289 \] Therefore, the length of the third side of the field is 289 meters. ### Answer: 289
Expected answer: 289
Correct? Yes
Problem: The perimeter of a triangle is 773 cm. Two of its sides measure 37 cm and 559 cm, respectively. Find the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) cm. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 37 + 559 + x = 773 \] \[ x = 773 - 37 - 559 \] \[ x = 177 \] Therefore, the length of the third side is 177 cm. ### Answer: 177
Expected answer: 177
Correct? Yes
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has three equal sides, the length of each side is the perimeter divided by 3. Therefore, each side has a length of 714/3 = <<714/3=238>>238 meters. ### Answer: 238 meters.
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. Given that the perimeter of the triangle is 792m, we have: 147m + 590m + x = 792m Simplifying the equation, we get: x = 792m - 147m - 590m x = 55m Therefore, the length of the third side is 55 meters. ### Answer: 55.
Expected answer: 55
Correct? Yes
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides: \[ 321 + 528 + x = 871 \] \[ x = 871 - 321 - 528 \] \[ x = 22 \] Therefore, 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.
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 424 + 246 + x = 991 \] Solving for \( x \): \[ x = 991 - 424 - 246 \] \[ x = 321 \] Therefore, the length of the third side of the triangle is 321 meters. ### Answer: 321.
Expected answer: 321
Correct? Yes
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 936m / 3 = <<936/3=312>>312m. ### Answer: 312m
Expected answer: 312
Correct? Yes
Problem: A triangle has a perimeter of 721m. Two of its sides have lengths of 204m and 195m, respectively. What is the length of the third side of the triangle?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be x. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: 204m + 195m + x = 721m 399m + x = 721m x = 721m - 399m x = 322m Therefore, the length of the third side of the triangle is 322m. ### Answer: 322m
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 201m / 3 = <<201/3=67>>67m. ### Answer: 67m
Expected answer: 67
Correct? Yes
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( s \) meters. Since the triangle is equilateral, all sides are of equal length. The perimeter of the triangle is the sum of the lengths of all three sides, so we have: \[ 3s = 756 \] Dividing both sides by 3, we get: \[ s = \frac{756}{3} = 252 \] Therefore, each side of the equilateral triangle is \( \boxed{252} \) meters long. ### Answer: 252.
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides: \[ 735 + 144 + x = 923 \] \[ x = 923 - 735 - 144 \] \[ x = 44 \] Therefore, the length of the third side is 44 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 813 cm / 3 = <<813/3=271>>271 cm. ### Answer: 271 cm.
Expected answer: 271
Correct? Yes
Problem: An equilateral triangle has a perimeter of 834 feet. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 834/3 = <<834/3=278>>278 feet long. ### 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?
GPT-3.5 Turbo:
Let the length of one side of the triangle be x. Since all sides are equal in length, the perimeter is given by 3x = 105m. Solving for x, we have x = 105m / 3 = 35m. ### Answer: 35m
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?
GPT-3.5 Turbo:
Let the length of each side of the triangle be x cm. Since all sides are equal, the perimeter is given by 3x = 195. Dividing both sides by 3, we get x = 195/3 = 65. Therefore, each side of the triangle is 65 cm long. ### Answer: 65 cm.
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: 350m + 154m + x = 919m Combining like terms, we get: 504m + x = 919m Subtracting 504m from both sides, we get: x = 919m - 504m x = 415m Therefore, the length of the third side is 415 meters. ### Answer: 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have the equation: \[ 128 + 288 + x = 989 \] Solving for \( x \): \[ x = 989 - 128 - 288 \] \[ x = 573 \] Therefore, the length of the third side is 573 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides equal, the perimeter is the sum of all three sides. Let \( s \) be the length of each side. Therefore, we have \( 3s = 321 \) meters. Solving for \( s \), we get \( s = \frac{321}{3} = 107 \) 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 258 cm / 3 = <<258/3=86>>86 cm. ### Answer: 86 cm.
Expected answer: 86
Correct? Yes
Problem: An equilateral triangle has a perimeter of 75m. What is the length of each side of the triangle?
GPT-3.5 Turbo:
Given that an equilateral triangle has three equal sides, we can find the length of each side by dividing the perimeter by 3. Perimeter of the equilateral triangle = 75m Length of each side = Perimeter / 3 = 75m / 3 = 25m Therefore, each side of the equilateral triangle is 25 meters long. ### Answer: 25m
Expected answer: 25
Correct? Yes
Problem: The perimeter of a triangle is 979m. Two of its sides are 620m and 80m respectively. What is the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \[ 620 + 80 + x = 979 \] Solving for \( x \): \[ x = 979 - 620 - 80 = 279 \] Therefore, the length of the third side is 279 meters. ### Answer: 279.
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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 966/3 = <<966/3=322>>322 meters long. ### 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since the triangle is equilateral, all sides are of equal length. Perimeter of an equilateral triangle = 3 * length of each side Therefore, \( 486 = 3x \) Solving for \( x \): \( x = \frac{486}{3} = 162 \) cm ### Answer: 162 cm.
Expected answer: 162
Correct? Yes
Problem: An equilateral triangle has a perimeter of 948 meters. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 948/3 = <<948/3=316>>316 meters long. ### 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. Given that the perimeter of the triangle is the sum of all three sides, we have: \[ 252 + 687 + x = 998 \] \[ x = 998 - 252 - 687 \] \[ x = 59 \] Therefore, the length of the third side is 59 meters. ### Answer: 59.
Expected answer: 59
Correct? Yes
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 618m / 3 = <<618/3=206>>206m. ### Answer: 206m
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 483/3 = <<483/3=161>>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?
GPT-3.5 Turbo:
Let the length of the third side be x. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have the equation: 262 + 90 + x = 804 Solving for x: x = 804 - 262 - 90 x = 452 Therefore, 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation \( 183 + 498 + x = 925 \). Solving for \( x \), we get \( x = 925 - 183 - 498 = 244 \) meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation \( 103 + 386 + x = 573 \). Solving for \( x \), we get \( x = 573 - 103 - 386 = 84 \) meters. ### Answer: 84.
Expected answer: 84
Correct? Yes
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 330m / 3 = <<330/3=110>>110m. ### Answer: 110m
Expected answer: 110
Correct? Yes
Problem: A triangle has a perimeter of 850m. Two of its sides have lengths of 57m and 426m, respectively. What is the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \( 57 + 426 + x = 850 \) Solving for \( x \): \( 483 + x = 850 \) \( x = 850 - 483 \) \( x = 367 \) Therefore, 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \[ 265 + 56 + x = 764 \] Solving for \( x \): \[ x = 764 - 265 - 56 \] \[ x = 443 \] Therefore, the length of the third side is 443 meters. ### Answer: 443.
Expected answer: 443
Correct? Yes
Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = Perimeter / 3 = 723 / 3 = <<723/3=241>>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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have the equation: \[ 315 + 100 + x = 738 \] Solving for \( x \): \[ 415 + x = 738 \] \[ x = 738 - 415 \] \[ x = 323 \] Therefore, the length of the third side is 323 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be x. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation: 131 + 147 + x = 762. Solving for x, we get x = 762 - 131 - 147 = 484m. ### Answer: 484m.
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?
GPT-3.5 Turbo:
Let the lengths of the two sides be \(x\) and \(y\), where \(x + y = 472\). The perimeter of the triangle is the sum of all three sides, so \(x + y + z = 784\), where \(z\) is the length of the third side. Substitute the given information into the perimeter equation: \(472 + z = 784\). Solving for \(z\), we get \(z = 784 - 472 = 312\). Therefore, the length of the third side is 312m. ### Answer: 312m.
Expected answer: 312
Correct? Yes
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = 543mm / 3 = <<543/3=181>>181mm. ### Answer: 181 mm.
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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of all its side lengths, so we have the equation \( 287 + 475 + x = 867 \). Solving for \( x \), we get \( x = 867 - 287 - 475 = 105 \) meters. ### 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?
GPT-3.5 Turbo:
Let the length of the third side be x. Given that the lengths of two sides add up to 838m, we have: 828m + 10m + x = 838m + x The perimeter of the triangle is the sum of all three sides, so we have: 828m + 10m + x + x = 934m 838m + 2x = 934m 2x = 934m - 838m 2x = 96m x = 48m Therefore, the length of the third side is 48m. ### Answer: 48m
Expected answer: 96
Correct? No
Problem: A triangle has a perimeter of 677m. Two of its sides measure 109m and 530m respectively. What is the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \( 109 + 530 + x = 677 \) Solving for \( x \): \( 109 + 530 + x = 677 \) \( 639 + x = 677 \) \( x = 677 - 639 \) \( x = 38 \) Therefore, the length of the third side is 38 meters. ### Answer: 38.
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = 582 cm / 3 = <<582/3=194>>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?
GPT-3.5 Turbo:
Let the length of the last side be \( x \) meters. Given that the perimeter of the triangle is 499m, we have: \[ 259 + 11 + x = 499 \] \[ x = 499 - 259 - 11 \] \[ x = 229 \] Therefore, the length of the last side is 229 meters. ### Answer: 229.
Expected answer: 229
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) meters. Since an equilateral triangle has three equal sides, the perimeter is given by \( 3x = 966 \) meters. Solving for \( x \), we have \( x = \frac{966}{3} = 322 \) meters. ### Answer: 322 meters.
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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 894/3 = <<894/3=298>>298 inches long. ### 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since the triangle is equilateral, all sides are of equal length. The perimeter of the triangle is the sum of the lengths of all three sides, so we have: \[ 3x = 891 \] \[ x = \frac{891}{3} \] \[ x = 297 \text{ cm} \] Therefore, each side of the equilateral triangle is \( \boxed{297} \) cm long. ### 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?
GPT-3.5 Turbo:
Let the length of the third side be x meters. According to the perimeter of a triangle, the sum of all three sides is equal to the perimeter. So, x + 122 + 245 = 762. Combining like terms, we get x + 367 = 762. Subtracting 367 from both sides, we get x = 395. Therefore, the length of the third side is 395 meters. ### Answer: 395.
Expected answer: 395
Correct? Yes
Problem: An equilateral triangle has a perimeter of 411m. What is the length of each side of the triangle?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, each side of the triangle is equal to the perimeter divided by 3. Therefore, each side of the equilateral triangle is 411m/3 = 137m. ### Answer: 137m
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?
GPT-3.5 Turbo:
Reasoning: Since the triangle has three identical sides, each side has a length of 72m/3 = <<72/3=24>>24m. ### Answer: 24m
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 537 + 68 + x = 930 \] Solving for \( x \): \[ x = 930 - 537 - 68 = 325 \] Therefore, 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 657/3 = <<657/3=219>>219 meters long. ### 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have the equation: \[ 368 + 230 + x = 909 \] Solving for \( x \): \[ x = 909 - 368 - 230 \] \[ x = 311 \] Therefore, the length of the third side is 311 meters. ### 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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \( 140 + 525 + x = 700 \) Solving for \( x \): \( 665 + x = 700 \) \( x = 700 - 665 \) \( x = 35 \) Therefore, the length of the third side is 35 meters. ### Answer: 35
Expected answer: 35
Correct? Yes
Problem: A triangle has a perimeter of 915cm. Two of its sides are 484cm and 130cm respectively. What length is the third side of the triangle?
GPT-3.5 Turbo:
Let the length of the third side be x cm. The perimeter of a triangle is the sum of the lengths of its three sides. So, x + 484 + 130 = 915. Combining like terms, we get x + 614 = 915. Subtracting 614 from both sides, we get x = 915 - 614 = 301. Therefore, the length of the third side of the triangle is 301 cm. ### Answer: 301 cm.
Expected answer: 301
Correct? Yes
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since an equilateral triangle has all sides of equal length, the perimeter is given by \( 3x = 120 \) cm. Solving for \( x \), we have \( x = \frac{120}{3} = 40 \) cm. ### Answer: 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \( 382 + 151 + x = 661 \) Solving for \( x \): \( x = 661 - 382 - 151 = 128 \) Therefore, 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?
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) feet. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation \( 419 + 164 + x = 678 \). Solving for \( x \), we get \( x = 678 - 419 - 164 = 95 \) 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?
GPT-3.5 Turbo:
Let the length of the remaining side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides. Therefore, we have: \( 186 + 37 + x = 248 \) Solving for \( x \): \( x = 248 - 186 - 37 = 25 \) Therefore, the length of the remaining side is 25 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 246/3 = <<246/3=82>>82 centimeters long. ### Answer: 82 cm.
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.
GPT-3.5 Turbo:
Reasoning: Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have the equation \( 180 + 338 + x = 739 \). Solving for \( x \), we get \( x = 739 - 180 - 338 = 221 \) 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since an equilateral triangle has three equal sides, the perimeter is given by \( 3x = 684 \) cm. Dividing both sides by 3, we get \( x = 684/3 = 228 \) cm. Therefore, the length of each side of the equilateral triangle is \(\boxed{228}\) cm. ### Answer: 228 cm.
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 537m / 3 = <<537/3=179>>179m. ### Answer: 179m
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \( 110 + 205 + x = 568 \) Solving for \( x \): \( x = 568 - 110 - 205 = 253 \) Therefore, the length of the third side is 253 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = 942mm / 3 = <<942/3=314>>314mm. ### Answer: 314 mm.
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?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. The perimeter of a triangle is the sum of the lengths of its three sides, so we have: \[ 325 + 15 + x = 633 \] \[ x = 633 - 325 - 15 \] \[ x = 293 \] 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 504/3 = <<504/3=168>>168 meters long. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 51/3 = <<51/3=17>>17 cm long. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side of the equilateral triangle is 501/3 = <<501/3=167>>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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, the perimeter is the sum of all three sides. Let \( s \) be the length of each side. Therefore, we have \( 3s = 411 \) meters. Solving for \( s \), we get \( s = \frac{411}{3} = 137 \) meters. ### Answer: 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?
GPT-3.5 Turbo:
Let the length of each side of the equilateral triangle be \( x \) cm. Since the triangle is equilateral, all sides are of equal length. The perimeter of an equilateral triangle is given by \( \text{Perimeter} = 3x \). Given that the perimeter is 114 cm, we have: \[ 3x = 114 \] \[ x = \frac{114}{3} \] \[ x = 38 \text{ cm} \] Therefore, each side of the equilateral triangle is 38 cm long. ### Answer: 38 cm.
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, the perimeter is the sum of all three sides. Therefore, each side of the equilateral triangle is 69m/3 = <<69/3=23>>23m. ### Answer: 23m
Expected answer: 23
Correct? Yes
Problem: A triangle has sides of lengths 464m and 377m respectively. If the total perimeter of the triangle is 907m, what is the length of the third side?
GPT-3.5 Turbo:
Let the length of the third side be \( x \) meters. According to the given information, the perimeter of the triangle is the sum of the lengths of all three sides: \[ 464 + 377 + x = 907 \] \[ x = 907 - 464 - 377 \] \[ x = 66 \] Therefore, the length of the third side is 66 meters. ### 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?
GPT-3.5 Turbo:
Reasoning: Since an equilateral triangle has all sides of equal length, we can divide the perimeter by 3 to find the length of each side. Each side length = 966m / 3 = <<966/3=322>>322m. ### Answer: 322m
Expected answer: 322
Correct? Yes