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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 990/3 = <<990/3=330>>330cm.
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 Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. So, we can set up the equation: 2 (the length of one side) + 667 (the length of another side) + x (the length of the third side) = 997 (the total perimeter) Solving for x gives: x = 997 - 2 - 667 x = 133 So, the length of the third side is 133m.
Expected answer: 328
Correct? No
Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 579 cm / 3 = <<579/3=193>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 684m, the length of each side is 684m/3 = <<684/3=228>>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 Coder 33B:
The third side of the triangle is the perimeter of the triangle minus the sum of the lengths of the other two sides. So, the length of the remaining side is 503 - 223 - 46 = <<503-223-46=214>>214 meters.
Expected answer: 234
Correct? No
Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 105m, each side length is 105m/3 = <<105/3=35>>35m.
Expected answer: 35
Correct? Yes
Problem: An equilateral triangle has a perimeter of 306cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 306cm / 3 = <<306/3=102>>102cm.
Expected answer: 102
Correct? Yes
Problem: An equilateral triangle has a perimeter of 33 cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 33 cm, each side length is 33/3 = <<33/3=11>>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?
DeepSeek Coder 33B:
The length of the third side can be found by subtracting the sum of the lengths of the two known sides from the total perimeter. The third side length = Total perimeter - (Length of side 1 + Length of side 2) So, the third side length = 861m - (192m + 159m) = 861m - 351m = 510m.
Expected answer: 510
Correct? Yes
Problem: A triangle has a perimeter of 489 centimeters. If each of its sides is of equal length, what is the length of one side?
DeepSeek Coder 33B:
Reasoning: If a triangle has a perimeter of 489 cm, then the sum of the lengths of its sides is 489 cm. Since the triangle has 3 sides, the length of one side is 489 cm / 3 = <<489/3=163>>163 cm.
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. So, the length of each side is 696/3 = <<696/3=232>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. So, we can set up the equation 180 + 579 + x = 804. Solving for x gives us the length of the third side. 180 + 579 + x = 804 x = 804 - 180 - 579 x = 1095 - 804 x = <<1095-804=291>>291m. ### Answer: 291m
Expected answer: 45
Correct? No
Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 915cm / 3 = <<915/3=305>>305cm.
Expected answer: 305
Correct? Yes
Problem: An equilateral triangle has a perimeter of 564 cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 564 cm / 3 = <<564/3=188>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 594/3 = <<594/3=198>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 453 cm, then each side of the triangle is 453/3 = <<453/3=151>>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?
DeepSeek Coder 33B:
The total perimeter of a triangle is the sum of the lengths of all its sides. Therefore, the length of the third side of the triangle is the total perimeter minus the sum of the lengths of the two given sides. Let's calculate it: The length of the third side of the triangle = 898m - (250m + 435m) = 898m - 685m = 213m.
Expected answer: 213
Correct? Yes
Problem: An equilateral triangle has a total perimeter of 405 cm. Can you determine the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 405 cm, the length of one side is 405/3 = <<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 Coder 33B:
The perimeter of an equilateral triangle is 3 times the length of one side. So, if the total perimeter is 612 meters, then each side of the triangle is 612/3 = 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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 591 cm, the length of one side is 591/3 = <<591/3=197>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 858m, the length of each side is 858m/3 = <<858/3=286>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 543 meters, each side length is 543/3 = <<543/3=181>>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?
DeepSeek Coder 33B:
Reasoning: In a triangle, the perimeter is the sum of the lengths of the three sides. If the triangle has three equal sides, then each side is 255/3 = 85 meters. Therefore, the length of each side is 85 meters.
Expected answer: 85
Correct? Yes
Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 570mm, the length of one side is 570/3 = <<570/3=190>>190mm.
Expected answer: 190
Correct? Yes
Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 129m, each side length is 129m/3 = <<129/3=43>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 858 meters, each side length is 858/3 = <<858/3=286>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is calculated by multiplying the length of one side by 3. So, if the perimeter is 513 km, the length of one side is 513/3 = <<513/3=171>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a triangle is the sum of the lengths of its sides. So, we can set up the equation 105 + 434 + x = 828. Solving for x gives us the length of the third side. 105 + 434 + x = 828 x = 828 - 105 - 434 x = 828 - 549 x = <<828-549=279>>279 meters. So, the third side of the field is 279 meters long.
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 Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 773 cm. The two sides that are known to be 37 cm and 559 cm add up to 626 cm. Therefore, the third side must be 773 cm - 626 cm = 147 cm.
Expected answer: 177
Correct? No
Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 714m / 3 = <<714/3=238>>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 Coder 33B:
The perimeter of a triangle is the sum of the lengths of its sides. So, we can set up the equation 147 + 590 + x = 792. Solving for x gives us x = 792 - 147 - 590 = <<792-147-590=138>>138m.
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 Coder 33B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. So, we know that 321 + 528 + x = 871. We can solve for x by subtracting the known sides from the total perimeter. x = 871 - 321 - 528 x = 871 - 850 x = <<871-850=21>>21 meters. ### Answer: 21 meters
Expected answer: 22
Correct? No
Problem: A triangle has a perimeter of 991m. Two sides of the triangle measure 424m and 246m respectively. Find the length of the third side of the triangle.
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of its sides. Therefore, we can set up the equation: 424m + 246m + x = 991m Solving for x gives us the length of the third side of the triangle. Reasoning: x = 991m - 424m - 246m x = 991m - (424m + 246m) x = 991m - 670m x = 321m Therefore, the length of the third side of the triangle is 321m.
Expected answer: 321
Correct? Yes
Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 936m, then each side of the triangle is 936m / 3 = <<936/3=312>>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?
DeepSeek Coder 33B:
The length of the third side of the triangle can be found by subtracting the sum of the lengths of the other two sides from the total perimeter. The sum of the lengths of the other two sides is 204m + 195m = <<204+195=399>>399m. The length of the third side of the triangle is 721m - 399m = <<721-399=322>>322m.
Expected answer: 322
Correct? Yes
Problem: An equilateral triangle has a perimeter of 201m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 201m, each side length is 201m/3 = <<201/3=67.33333333333333>>67.33333333333333m.
Expected answer: 67
Correct? No
Problem: A large equilateral triangle has a perimeter of 756m. Find the length of each of its sides.
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 756m / 3 = <<756/3=252>>252m. ### Answer: 252m
Expected answer: 252
Correct? Yes
Problem: The perimeter of a triangle is 923m. Two of its sides are 735m and 144m long respectively. What is the length of the third side?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. So, we can set up the equation: 735m + 144m + x = 923m Solving for x gives us the length of the third side. Reasoning: x = 923m - (735m + 144m) x = 923m - 879m x = <<923-879=44>>44m ### Answer: 44 meters
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 813 cm, the length of each side is 813/3 = <<813/3=271>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, we can set up the equation 3x = 834 and solve for x. x = 834 / 3 = <<834/3=278>>278 feet. Therefore, each side of the equilateral triangle is 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 105m, then the length of one side is 105m/3 = <<105/3=35>>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?
DeepSeek Coder 33B:
Reasoning: If all sides of the triangle are equal, then the triangle is equilateral. In an equilateral triangle, all sides are equal. Therefore, the perimeter of an equilateral triangle is 3 times the length of one side. Let's denote the length of one side as x. Then, the perimeter of the triangle is 3x. Given that the perimeter of the triangle is 195cm, we can set up the equation 3x = 195 and solve for x. x = 195 / 3 = <<195/3=65>>65cm. Therefore, the length of each side of the triangle is 65cm.
Expected answer: 65
Correct? Yes
Problem: A triangle has a perimeter of 919m. You know that one of its sides is 350m long and the other side is 154m long. What is the length of the third side?
DeepSeek Coder 33B:
The third side of the triangle is the perimeter minus the sum of the other two sides. So, the third side is 919m - 350m - 154m = <<919-350-154=315>>315m.
Expected answer: 415
Correct? No
Problem: A triangle has a perimeter of 989m. You know that two of its sides are 128m and 288m long respectively. What is the length of the third side?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the third side of the triangle is the perimeter minus the sum of the lengths of the two known sides. So, the length of the third side is 989m - (128m + 288m) = <<989-128-288=433>>433m.
Expected answer: 573
Correct? No
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 321 meters, each side of the triangle is 321/3 = <<321/3=107>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 258 cm, each side length is 258/3 = <<258/3=86>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. So, the length of each side of the triangle is 75m / 3 = <<75/3=25>>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?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 979m. We know that two of the sides are 620m and 80m. So, the third side must be 979m - 620m - 80m = 189m.
Expected answer: 279
Correct? No
Problem: An equilateral triangle has a perimeter of 966 meters. What is the length of each side of this triangle?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. So, if the perimeter is 966 meters, then each side of the triangle is 966/3 = <<966/3=322>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 486 cm, the length of each side is 486/3 = <<486/3=162>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 948/3 = <<948/3=316>>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?
DeepSeek Coder 33B:
The total perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation 252 + 687 + x = 998. Solving this equation for x gives us the length of the third side. Let's solve this equation: 252 + 687 + x = 998 x = 998 - 252 - 687 x = 1009 - 949 x = 60 So, the length of the third side of the triangle is 60m.
Expected answer: 59
Correct? No
Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of a side multiplied by 3. So, if the perimeter is 618m, the length of each side is 618m/3 = <<618/3=206>>206m.
Expected answer: 206
Correct? Yes
Problem: An equilateral triangle has a perimeter of 483 meters. How long is each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 483 meters, then each side is 483/3 = <<483/3=161>>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?
DeepSeek Coder 33B:
The third side of the triangle is the perimeter minus the sum of the other two sides. So, the length of the third side is 804m - 262m - 90m = <<804-262-90=352>>352m.
Expected answer: 452
Correct? No
Problem: A large triangle has a perimeter of 925m. Two of its sides are 183m and 498m, respectively. What is the length of the third side?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of its sides. Therefore, we can set up the equation: 183m + 498m + x = 925m Solving for x gives us the length of the third side. Reasoning: x = 925m - (183m + 498m) x = 925m - 681m x = 244m ### Answer: 244m
Expected answer: 244
Correct? Yes
Problem: A scalene triangle has a total perimeter of 573m. One of its sides measures 103m and another side measures 386m. What is the length of the third side?
DeepSeek Coder 33B:
The third side of the triangle is the total perimeter minus the sum of the other two sides. So, the third side is 573m - 103m - 386m = <<573-103-386=-170>>-170m. However, this is not possible because the length of a side of a triangle cannot be negative. Therefore, the given information is incorrect.
Expected answer: 84
Correct? No
Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 330m / 3 = <<330/3=110>>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?
DeepSeek Coder 33B:
The length of the third side of a triangle can be found by subtracting the sum of the lengths of the other two sides from the perimeter of the triangle. The sum of the lengths of the other two sides is 57 + 426 = <<57+426=483>>483m. The length of the third side is 850 - 483 = <<850-483=367>>367m.
Expected answer: 367
Correct? Yes
Problem: A triangle has a perimeter of 764m. Two of its sides are 265m and 56m in length. What is the length of the third side?
DeepSeek Coder 33B:
The length of the third side of the triangle can be found by subtracting the sum of the lengths of the other two sides from the total perimeter. The sum of the lengths of the other two sides is 265m + 56m = <<265+56=321>>321m. The length of the third side is 764m - 321m = <<764-321=443>>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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 723cm, each side length is 723/3 = <<723/3=241>>241cm.
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 Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, we can set up the equation 315m + 100m + x = 738m. Solving for x gives us x = 738m - 315m - 100m = 138m. Therefore, the length of the third side is 138m.
Expected answer: 323
Correct? No
Problem: A triangle has a perimeter of 762m. If one of the sides measures 131m, and the other side is 147m long, what is the length of the third side?
DeepSeek Coder 33B:
The third side of the triangle is the perimeter minus the sum of the other two sides. So, the third side is 762m - 131m - 147m = <<762-131-147=454>>454m.
Expected answer: 484
Correct? No
Problem: A triangle has a perimeter of 784m and you know the sum of two of its sides is 472m. What is the length of the third side?
DeepSeek Coder 33B:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. Therefore, the third side of the triangle cannot be greater than 472m - 472m = 0m. This is a contradiction, so the triangle cannot exist.
Expected answer: 312
Correct? No
Problem: An equilateral triangle has a perimeter of 543mm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 543mm / 3 = <<543/3=181>>181mm.
Expected answer: 181
Correct? Yes
Problem: A triangle has a first side length of 287m, a second side length of 475m, and a perimeter of 867m. What is the length of the third side?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. So, we know that 287m + 475m + third side = 867m. We can solve this equation to find the length of the third side. 287m + 475m + third side = 867m third side = 867m - 287m - 475m third side = 867m - (287m + 475m) third side = 867m - 762m third side = 105m So, the length of the third side is 105m.
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 Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 934m. The lengths of the two sides are 828m and 10m. Therefore, the length of the third side is 934m - 828m - 10m = 80m.
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?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of its sides. So, we can set up the equation: 109m + 530m + x = 677m Solving for x gives us the length of the third side. Reasoning: x = 677m - 109m - 530m x = 677m - 648m x = 29m Therefore, the length of the third side is 29m.
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 582 cm, each side length is 582/3 = <<582/3=194>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. So, we know that 259 + 11 + x = 499. We can solve this equation to find the length of the last side. 259 + 11 + x = 499 x = 499 - 259 - 11 x = 137 So, the length of the last side is 137m.
Expected answer: 229
Correct? No
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 966m / 3 = <<966/3=322>>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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 894 inches, then the length of one side is 894/3 = <<894/3=298>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 891cm / 3 = <<891/3=297>>297cm.
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 Coder 33B:
The third side of the triangle can be calculated by subtracting the sum of the known sides from the total perimeter. The third side = 762 - (122 + 245) = 762 - 367 = 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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 411m, the length of one side is 411m/3 = <<411/3=137>>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?
DeepSeek Coder 33B:
Reasoning: The total length of the sides of the triangle is 72m. Since the triangle has three identical sides, each side must be 72m divided by 3. So, the length of each side of the triangle is 72m / 3 = <<72/3>>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?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of its sides. Therefore, we can set up the equation: 537 + 68 + x = 930 Solving for x gives us the length of the third side. x = 930 - 537 - 68 x = 235 meters. ### Answer: 235 meters
Expected answer: 325
Correct? No
Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 657/3 = <<657/3=219>>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?
DeepSeek Coder 33B:
The perimeter of a triangle is the sum of the lengths of all its sides. So, we know that 368m + 230m + x = 909m. Solving for x, we get x = 909m - 368m - 230m = 309m. Therefore, the length of the third side is 309m.
Expected answer: 311
Correct? No
Problem: A triangle has a perimeter of 700 m. Two of its sides are 140m and 525m long. What is the length of the third side?
DeepSeek Coder 33B:
The third side of the triangle is the perimeter minus the sum of the lengths of the other two sides. So, the length of the third side is 700m - 140m - 525m = <<700-140-525=10m>>10m.
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 Coder 33B:
Reasoning: The perimeter of a triangle is the sum of its sides. So, we can set up the equation 484 + 130 + x = 915. Solving for x gives us the length of the third side. x = 915 - 484 - 130 = <<915-484-130=321>>321cm. ### Answer: 321cm
Expected answer: 301
Correct? No
Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 120 cm, then each side of the triangle is 120 cm / 3 = <<120/3=40>>40 cm.
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 Coder 33B:
The perimeter of a triangle is the sum of its sides. So, we can set up the equation: 382 + 151 + x = 661. Solving for x gives us: x = 661 - 382 - 151 = <<661-382-151=138>>138m. So, the length of the third side of the triangle is 138m.
Expected answer: 128
Correct? No
Problem: A triangle has a total perimeter of 678 feet. Two of its sides measure 419 feet and 164 feet respectively. What is the length of the third side?
DeepSeek Coder 33B:
The total perimeter of a triangle is the sum of the lengths of all its sides. So, we can set up the equation: 419 + 164 + x = 678 Solving for x gives us the length of the third side. Reasoning: 419 + 164 + x = 678 x = 678 - 419 - 164 x = 678 - 583 x = 95 Therefore, the length of the third side is 95 feet.
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 Coder 33B:
Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. In this case, the perimeter is 248m. We know that two of the sides are 186m and 37m long. Therefore, the length of the remaining side is 248m - 186m - 37m = 248m - 223m = 25m.
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 246 cm, each side length is 246/3 = <<246/3=82>>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.
DeepSeek Coder 33B:
The total perimeter of a triangle is the sum of the lengths of all its sides. In this case, the total perimeter is 739 meters. The two sides of the triangle are 180 meters and 338 meters. The third side of the triangle can be found by subtracting the sum of the other two sides from the total perimeter. So, the third side of the triangle is 739 - 180 - 338 = <<739-180-338=125>>125 meters.
Expected answer: 221
Correct? No
Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 684cm / 3 = <<684/3=228>>228cm.
Expected answer: 228
Correct? Yes
Problem: An equilateral triangle has a perimeter of 537m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 537m / 3 = <<537/3=179>>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?
DeepSeek Coder 33B:
The length of the third side of a triangle can be found by subtracting the sum of the lengths of the other two sides from the total perimeter. The sum of the lengths of the other two sides is 110m + 205m = <<110+205=315>>315m. The length of the third side is 568m - 315m = <<568-315=253>>253m.
Expected answer: 253
Correct? Yes
Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 942mm / 3 = <<942/3=314>>314mm.
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 Coder 33B:
The third side of the triangle is the total perimeter of the triangle minus the sum of the lengths of the other two sides. So, the length of the third side is 633 - (325 + 15) = 633 - 340 = 293 meters.
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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of each side. So, the length of each side of the triangle is 504/3 = <<504/3=168>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 51 cm, each side length is 51/3 = <<51/3=17>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of one side. So, if the perimeter is 501 feet, then the length of one side is 501/3 = <<501/3=167.03333333333333>>167.03333333333333 feet. ### Answer: 167.03333333333333 feet
Expected answer: 167
Correct? No
Problem: The perimeter of an equilateral triangle is 411 meters. What is the length of each side of the triangle?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 411 meters, each side length is 411/3 = <<411/3=137>>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 Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 114/3 = <<114/3=38>>38cm.
Expected answer: 38
Correct? Yes
Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is the length of each side multiplied by 3. So, if the perimeter is 69m, each side length is 69m/3 = <<69/3=23>>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?
DeepSeek Coder 33B:
The total perimeter of a triangle is the sum of the lengths of all its sides. Therefore, the third side of the triangle is the total perimeter minus the sum of the lengths of the other two sides. Let's calculate it. The total perimeter is 907m. The sum of the lengths of the other two sides is 464m + 377m = <<464+377=841>>841m. The length of the third side is 907m - 841m = <<907-841=66>>66m. Therefore, the length of the third side is 66m.
Expected answer: 66
Correct? Yes
Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of an equilateral triangle is 3 times the length of its side. So, the length of each side is 966m / 3 = <<966/3=322>>322m.
Expected answer: 322
Correct? Yes