Problem: An equilateral triangle has a perimeter of 990cm. What is the length of each of its sides?

Gemini-1.5 Flash:

An equilateral triangle has three sides of equal length. 
Therefore, each side is 990cm / 3 = 330cm.

### Answer: 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?

Gemini-1.5 Flash:

The perimeter of a triangle is the sum of the lengths of its sides.  Therefore, the length of the third side is equal to the perimeter minus the sum of the lengths of the other two sides.

The third side has a length of 997m - 2m - 667m = 328m.

### Answer: 328m 

Expected answer: 328

Correct? Yes

Problem: An equilateral triangle has a perimeter of 579 cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, the length of each side is equal to the perimeter divided by 3. 
The length of each side is 579 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides.  Therefore, the length of each side is the perimeter divided by 3. 

The length of each side is 684m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  So, to find the length of the remaining side, we need to subtract the lengths of the two known sides from the perimeter. 

The length of the remaining side is 503 meters - 223 meters - 46 meters = 234 meters.

### Answer: 234 meters 

Expected answer: 234

Correct? Yes

Problem: An equilateral triangle has a perimeter of 105m. What is the length of each of its sides?

Gemini-1.5 Flash:

An equilateral triangle has three equal sides.  Since the perimeter is the total length of all sides, we can find the length of one side by dividing the perimeter by 3. 

The length of one side is 105m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we can divide the perimeter by 3. 

306 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Since the perimeter is the total length of all sides, we can find the length of each side by dividing the perimeter by 3.

So, the length of each side is 33 cm / 3 = 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?

Gemini-1.5 Flash:

Here's how to find the length of the third side:

1. **Perimeter:** The perimeter of a triangle is the sum of the lengths of all its sides. 
2. **Known Sides:** We know two sides are 192m and 159m.
3. **Finding the Third Side:**  Subtract the lengths of the known sides from the total perimeter: 
   861m - 192m - 159m = 510m

### Answer: 510m 

Expected answer: 510

Correct? Yes

Problem: A triangle has a perimeter of 489 centimeters. If each of its sides is of equal length, what is the length of one side?

Gemini-1.5 Flash:

Reasoning:  A triangle has 3 sides. If the perimeter is 489 centimeters and all sides are equal, we divide the perimeter by 3 to find the length of one side: 489 centimeters / 3 = 163 centimeters.

### Answer: 163 centimeters 

Expected answer: 163

Correct? Yes

Problem: An equilateral triangle has a perimeter of 696 meters. What is the length of each side of this triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of each side, we divide the perimeter by 3.  
 
696 meters / 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all three sides. We know two sides are 180m and 579m, so their sum is 180m + 579m = 759m.  To find the length of the third side, we subtract this sum from the total perimeter: 804m - 759m = 45m.

### Answer: 45m 

Expected answer: 45

Correct? Yes

Problem: An equilateral triangle has a perimeter of 915cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  
The perimeter is the total length of all sides, so to find the length of one side, we divide the perimeter by 3.
Therefore, the length of each side is 915cm / 3 = 305cm.

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of each side, we divide the perimeter by 3. 
 
  The length of each side is 564 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. Therefore, to find the length of each side, we divide the perimeter by 3. 

594 cm / 3 = 198 cm

### Answer: 198 cm 

Expected answer: 198

Correct? Yes

Problem: An equilateral triangle has a perimeter of 453 cm. How long is each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. 
To find the length of one side, we can divide the perimeter by 3: 453 cm / 3 = 151 cm.

### 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?

Gemini-1.5 Flash:

Reasoning: 
The perimeter of a triangle is the sum of the lengths of its three sides.
We know two sides are 250m and 435m, so their sum is 250m + 435m = 685m.
Therefore, the length of the third side is the total perimeter minus the sum of the other two sides: 898m - 685m = 213m.

### Answer: 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?

Gemini-1.5 Flash:

Here's how to determine the length of each side:

* **Equilateral Triangle:**  An equilateral triangle has three equal sides.
* **Perimeter:** The perimeter is the total length of all sides added together.

**Calculation:**

1. **Divide the perimeter by the number of sides:** 405 cm / 3 sides = 135 cm/side

**Answer:** 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?

Gemini-1.5 Flash:

Here's how to find the length of each side:

* **Understanding Equilateral Triangles:** An equilateral triangle has three equal sides.
* **Perimeter:** The perimeter is the total length of all sides added together.
* **Calculation:** Since the perimeter is 612 meters, and all sides are equal, we divide the perimeter by 3: 612 meters / 3 = 204 meters.

### Answer: 204 

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?

Gemini-1.5 Flash:

Here's how to find the length of each side:

* **Equilateral triangles have equal sides.**  
* **Perimeter is the total length of all sides.**

Since the perimeter is 591 cm and there are 3 equal sides, each side has a length of:

591 cm / 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?

Gemini-1.5 Flash:

An equilateral triangle has three sides of equal length. 
Therefore, the length of each side is 858m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. Therefore, to find the length of one side, we divide the perimeter by 3. 

543 meters / 3 = 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?

Gemini-1.5 Flash:

Reasoning: Since the triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side.

255 meters / 3 = 85 meters

### Answer: 85 meters 

Expected answer: 85

Correct? Yes

Problem: An equilateral triangle has a perimeter of 570mm. Find the length of each side of this triangle.

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we divide the perimeter by 3.  
The length of each side is 570mm / 3 = 190mm. 

### Answer: 190mm 

Expected answer: 190

Correct? Yes

Problem: An equilateral triangle has a perimeter of 129m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3.
 
 129m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. Therefore, to find the length of each side, we divide the perimeter by 3.

858 meters / 3 = 286 meters

### Answer: 286 meters 

Expected answer: 286

Correct? Yes

Problem: A triangle has a perimeter of 513 km, and it's known to be an equilateral triangle - meaning all three sides are of equal length. Can you determine how long each side of this triangle is?

Gemini-1.5 Flash:

Here's how to solve this:

* **Perimeter:** The perimeter of a triangle is the total length of all its sides added together.
* **Equilateral Triangle:**  In an equilateral triangle, all three sides are the same length.

Since the perimeter is 513 km, and we have three equal sides, we can find the length of each side by dividing the perimeter by 3:

513 km / 3 = 171 km

### 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of all three sides. So, if two sides are 105 meters and 434 meters, the sum of those two sides is 105 + 434 = 539 meters.  The third side of the triangle is the difference between the perimeter and the sum of the two known sides.  The third side is 828 - 539 = 289 meters long.

### 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?

Gemini-1.5 Flash:

The perimeter of a triangle is the sum of the lengths of all three sides.  

Let's represent the unknown side by the variable "x".

We know: 
- Perimeter = 773 cm
- Side 1 = 37 cm
- Side 2 = 559 cm

Therefore, the equation is: 37 cm + 559 cm + x = 773 cm

Combining the known sides: 596 cm + x = 773 cm

To isolate "x", we subtract 596 cm from both sides: x = 773 cm - 596 cm

Finally, we find the length of the third side: x = 177 cm

### Answer: 177 cm 

Expected answer: 177

Correct? Yes

Problem: An equilateral triangle has a perimeter of 714m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. Therefore, the length of each side is equal to the perimeter divided by 3. 

714m / 3 = 238m

### Answer: 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?

Gemini-1.5 Flash:

Here's how to find the length of the third side:

* **Perimeter Formula:** The perimeter of a triangle is the sum of its three sides.
* **Let's represent:**
    *  The first side: 147m
    *  The second side: 590m
    *  The third side:  *x* 
* **Set up the equation:** 147m + 590m + *x* = 792m
* **Combine like terms:** 737m + *x* = 792m
* **Isolate *x*:**  *x* = 792m - 737m 
* **Calculate:** *x* = 55m

### Answer: 55m 

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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides. 
So, the length of the third side is 871 meters - 321 meters - 528 meters.
### Answer: 22 meters 

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.

Gemini-1.5 Flash:

Reasoning:  The perimeter of a triangle is the sum of the lengths of its three sides.  We know the perimeter is 991m and two sides are 424m and 246m.  To find the length of the third side, we subtract the lengths of the two known sides from the perimeter. 
 
  Therefore, the length of the third side is 991m - 424m - 246m = 321m.

### Answer: 321m 

Expected answer: 321

Correct? Yes

Problem: An equilateral triangle has a perimeter of 936m. How long is each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. Therefore, to find the length of one side, we divide the perimeter by 3.

936m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides.  Therefore, the length of the third side is equal to the perimeter minus the sum of the lengths of the other two sides.  This gives us 721m - 204m - 195m = 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?

Gemini-1.5 Flash:

An equilateral triangle has three sides of equal length. 
To find the length of one side, we divide the perimeter by 3: 201m / 3 = 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.

Gemini-1.5 Flash:

An equilateral triangle has three equal sides. 
To find the length of one side, we divide the perimeter by 3.

Therefore, the length of each side is 756m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all three sides.  We know the lengths of two sides, so to find the length of the third side, we can subtract the sum of the known side lengths from the total perimeter.

The sum of the known sides is 735m + 144m = 879m.
Therefore, the length of the third side is 923m - 879m = 44m.

### Answer: 44m

Expected answer: 44

Correct? Yes

Problem: An equilateral triangle has a perimeter of 813 cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3.

The length of each side is 813 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of each side, we divide the perimeter by 3: 834 feet / 3 = 278 feet.

### Answer: 278 feet 

Expected answer: 278

Correct? Yes

Problem: A triangle has a perimeter of 105m and all its sides are equal in length. How long is one side of the triangle?

Gemini-1.5 Flash:

Reasoning: Since the triangle has three equal sides, we can find the length of one side by dividing the perimeter by 3. 

Therefore, one side of the triangle is 105m / 3 = 35m long.

### 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?

Gemini-1.5 Flash:

Reasoning: Since the triangle has three equal sides, we can find the length of each side by dividing the perimeter by 3.  
Therefore, the length of each side is 195cm / 3 = 65cm.

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides. We know two sides are 350m and 154m, so their combined length is 350m + 154m = 504m.
To find the length of the third side, we subtract the combined length of the two known sides from the total perimeter: 919m - 504m = 415m.

### 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?

Gemini-1.5 Flash:

Here's how to find the length of the third side:

1. **Perimeter:** The perimeter of a triangle is the sum of all its sides.
2. **Known Sides:** We know two sides are 128m and 288m.
3. **Third Side:** To find the third side, subtract the lengths of the known sides from the total perimeter: 989m - 128m - 288m = 573m

### Answer: 573m 

Expected answer: 573

Correct? Yes

Problem: An equilateral triangle has a perimeter of 321 meters. If all sides are equal, what is the length of each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has 3 equal sides. To find the length of one side, we divide the perimeter by 3: 321 meters / 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3.

258 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. Therefore, to find the length of one side, we divide the perimeter by 3.

The length of each side is 75m / 3 = 25m. 

### 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. So, if the perimeter is 979m and two sides are 620m and 80m, then the third side is 979m - 620m - 80m.

Calculation: 979 - 620 - 80 = 279

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3. 

966 meters / 3 = 322 meters

### Answer: 322 meters 

Expected answer: 322

Correct? Yes

Problem: An equilateral triangle has a perimeter of 486 cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. 
Therefore, the length of each side is 486 cm / 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, the length of each side is the perimeter divided by 3. 

The length of each side is 948 meters / 3 = 316 meters.

### Answer: 316 meters 

Expected answer: 316

Correct? Yes

Problem: A scalene triangle has three sides of different lengths. The first side is 252m, and the second side is 687m. The total perimeter of the triangle is 998m. Can you find the length of the third side?

Gemini-1.5 Flash:

Here's how to find the length of the third side:

1. **Understand Perimeter:** The perimeter of a triangle is the total length of all its sides added together.

2. **Formula:**  Perimeter = Side 1 + Side 2 + Side 3

3. **Substitute Known Values:** 998m = 252m + 687m + Side 3

4. **Simplify:** 998m = 939m + Side 3

5. **Isolate Side 3:**  998m - 939m = Side 3

6. **Calculate:**  59m = Side 3

### Answer: 59m 

Expected answer: 59

Correct? Yes

Problem: An equilateral triangle has a perimeter of 618m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. 
The length of each side is equal to the perimeter divided by the number of sides.
Therefore, the length of each side 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?

Gemini-1.5 Flash:

An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3.

Therefore, the length of each side is 483 meters / 3 = 161 meters.

### 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  So, to find the length of the third side, we subtract the lengths of the two known sides from the perimeter.

The length of the third side is 804m - 262m - 90m = <<804-262-90=452>> 452m.

### Answer: 452m 

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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  
To find the length of the third side, we subtract the lengths of the known sides from the perimeter: 925m - 183m - 498m = 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?

Gemini-1.5 Flash:

Reasoning:  A scalene triangle has three sides of different lengths. To find the length of the third side, we can subtract the lengths of the other two sides from the total perimeter. 

The length of the third side is 573m - 103m - 386m = 84m.

### Answer: 84m 

Expected answer: 84

Correct? Yes

Problem: An equilateral triangle has a perimeter of 330m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides.  Therefore, the length of each side is equal to the perimeter divided by 3. 

330m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides.  Therefore, the length of the third side is equal to the perimeter minus the sum of the lengths of the other two sides. This can be represented as: 850m - 57m - 426m = 367m

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  We know two sides are 265m and 56m, so their combined length is 265m + 56m = 321m.  To find the length of the third side, we subtract this combined length from the total perimeter: 764m - 321m = 443m.

### Answer: 443m 

Expected answer: 443

Correct? Yes

Problem: An equilateral triangle has a perimeter of 723cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of each side, we divide the perimeter by 3.  

723 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  Therefore, to find the length of the third side, we subtract the lengths of the other two sides from the perimeter.

The length of the third side is 738m - 315m - 100m = 323m.

### Answer: 323m

Expected answer: 323

Correct? Yes

Problem: A triangle has a perimeter of 762m. If one of the sides measures 131m, and the other side is 147m long, what is the length of the third side?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all three sides.  Therefore, to find the length of the third side, we can subtract the lengths of the other two sides from the perimeter. 

The length of the third side is 762m - 131m - 147m = 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?

Gemini-1.5 Flash:

Reasoning:  The perimeter of a triangle is the sum of all its sides. If we know the sum of two sides is 472m, and the total perimeter is 784m, we can find the length of the third side by subtracting the sum of the two sides from the perimeter.

Calculation: 784m - 472m = 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we divide the perimeter by 3. 

543 mm / 3 = 181 mm

### 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. To find the length of the third side, we need to subtract the lengths of the first two sides from the perimeter.

So, the length of the third side is 867m - 287m - 475m = 105m.

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  We know that the perimeter is 934m and the sum of two sides is 838m (828m + 10m). Therefore, the length of the third side is the perimeter minus the sum of the other two sides: 934m - 838m = 96m.

### Answer: 96m 

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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of all three sides. We know two sides are 109m and 530m, so their combined length is 109m + 530m = 639m. To find the length of the third side, we subtract the combined length of the two known sides from the total perimeter: 677m - 639m = 38m.

### Answer: 38m 

Expected answer: 38

Correct? Yes

Problem: An equilateral triangle has a perimeter of 582 cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Since the perimeter is the total length of all sides, we can find the length of one side by dividing the perimeter by 3. 

Therefore, the length of each side is 582 cm / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides.  We know the lengths of two sides, so we can subtract those lengths from the perimeter to find the length of the last side. 

The length of the last side is 499m - 259m - 11m = <<499-259-11=229>> 229m. 

### Answer: 229m 

Expected answer: 229

Correct? Yes

Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of each side, we divide the perimeter by 3. 

966m / 3 = 322m

### Answer: 322m 

Expected answer: 322

Correct? Yes

Problem: An equilateral triangle has a perimeter of 894 inches. What is the length of each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3.

894 inches / 3 = 298 inches

### Answer: 298 inches 

Expected answer: 298

Correct? Yes

Problem: An equilateral triangle has a perimeter of 891cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. Therefore, to find the length of one side, we divide the perimeter by 3. 

891 cm / 3 = 297 cm

### Answer: 297 cm 

Expected answer: 297

Correct? Yes

Problem: A triangle has a perimeter of 762 meters. Two sides of these triangle are known to be 122 meters and 245 meters long respectively. Can you calculate the length of the third side?

Gemini-1.5 Flash:

Here's how to calculate the length of the third side:

1. **Perimeter Formula:** The perimeter of a triangle is the sum of the lengths of all its sides. So, Perimeter = side1 + side2 + side3.

2. **Substitute Known Values:** We know the perimeter (762 meters) and two sides (122 meters and 245 meters).  Let the unknown side be represented by 'x'. 
   Therefore, 762 = 122 + 245 + x

3. **Solve for 'x':**
   * Combine the known side lengths: 762 = 367 + x
   * Subtract 367 from both sides: 762 - 367 = x
   * Calculate the result: 395 = x

Therefore, the length of the third side of the triangle 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. 
Therefore, the length of each side is the perimeter divided by 3. 
So, each side is 411m / 3 = 137m long.

### 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?

Gemini-1.5 Flash:

Reasoning: Since the triangle has three identical sides, we can find the length of each side by dividing the total length by 3.
Therefore, the length of each side is 72m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  We know two sides are 537 meters and 68 meters, so their sum is 537 + 68 = 605 meters.  Subtracting this sum from the total perimeter gives us the length of the third side: 930 - 605 = 325 meters.

### Answer: 325 meters 

Expected answer: 325

Correct? Yes

Problem: An equilateral triangle has a perimeter of 657 meters. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we divide the perimeter by 3.

657 meters / 3 = 219 meters

### Answer: 219 meters 

Expected answer: 219

Correct? Yes

Problem: A scalene triangle has a side that measures 368m and another side that measures 230m. If the perimeter of the triangle is 909m, what is the length of the third side?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its sides.  To find the length of the third side, we subtract the lengths of the other two sides from the perimeter: 909m - 368m - 230m = 311m. 

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides. We know two sides are 140m and 525m, and the total perimeter is 700m.  Therefore, the third side is 700m - 140m - 525m = 35m.

### Answer: 35m 

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?

Gemini-1.5 Flash:

Reasoning: The sum of the two given sides is 484cm + 130cm = 614cm.
The length of the third side is the perimeter minus the sum of the other two sides, which is 915cm - 614cm = 301cm. 

### Answer: 301cm 

Expected answer: 301

Correct? Yes

Problem: An equilateral triangle has a perimeter of 120 cm. How long is each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3. 

120 cm / 3 = 40 cm

### Answer: 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?

Gemini-1.5 Flash:

The perimeter of a triangle is the sum of its three sides. We know the total perimeter (661m) and two side lengths (382m and 151m).  

To find the length of the third side, we can subtract the lengths of the known sides from the total perimeter:

661m - 382m - 151m = 128m

### Answer: 128m 

Expected answer: 128

Correct? Yes

Problem: A triangle has a total perimeter of 678 feet. Two of its sides measure 419 feet and 164 feet respectively. What is the length of the third side?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of its three sides.  Therefore, to find the length of the third side, we can subtract the lengths of the other two sides from the total perimeter.

The length of the third side is 678 feet - 419 feet - 164 feet = <<678-419-164=95>> 95 feet.

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all three sides. We know the perimeter is 248m and the lengths of two sides are 186m and 37m. To find the length of the remaining side, we subtract the lengths of the two known sides from the perimeter: 248m - 186m - 37m = 25m.

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Since the perimeter is the total length of all sides, we can find the length of one side by dividing the perimeter by 3.

The length of each side is 246 centimeters / 3 = 82 centimeters.

### Answer: 82 centimeters 

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.

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of all its sides. We know the total perimeter is 739 meters and two sides measure 180 meters and 338 meters. To find the length of the third side, we subtract the lengths of the known sides from the total perimeter: 739 meters - 180 meters - 338 meters = 221 meters.

### Answer: 221 meters 

Expected answer: 221

Correct? Yes

Problem: An equilateral triangle has a perimeter of 684cm. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length. Therefore, to find the length of each side, we divide the perimeter by 3. 
 
### 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?

Gemini-1.5 Flash:

An equilateral triangle has three sides of equal length.  To find the length of each side, we divide the perimeter by 3. 

537m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all three sides.  We know two sides are 110m and 205m, so their sum is 110m + 205m = 315m.  To find the length of the third side, we subtract this sum from the total perimeter: 568m - 315m = 253m.

### Answer: 253m 

Expected answer: 253

Correct? Yes

Problem: An equilateral triangle has a perimeter of 942mm. What is the length of each of its sides?

Gemini-1.5 Flash:

An equilateral triangle has three equal sides.  

To find the length of one side, we divide the perimeter by 3:

942 mm / 3 = 314 mm

### 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?

Gemini-1.5 Flash:

Reasoning: To find the length of the third side, we need to subtract the lengths of the other two sides from the total perimeter.  
* Perimeter - side 1 - side 2 = side 3
* 633 meters - 325 meters - 15 meters = 293 meters 

### Answer: 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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3: 504 meters / 3 = 168 meters.

### Answer: 168 meters 

Expected answer: 168

Correct? Yes

Problem: An equilateral triangle has a perimeter of 51 cm. What is the length of each of its sides?

Gemini-1.5 Flash:

An equilateral triangle has all three sides equal.  Since the perimeter is the total length of all the sides, we can find the length of each side by dividing the perimeter by 3.

The length of each side is 51 cm / 3 = 17 cm.

### Answer: 17 cm 

Expected answer: 17

Correct? Yes

Problem: An equilateral triangle has a perimeter of 501 feet. What is the length of each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we divide the perimeter by 3.

The length of each side is 501 feet / 3 = 167 feet. 

### Answer: 167 feet 

Expected answer: 167

Correct? Yes

Problem: The perimeter of an equilateral triangle is 411 meters. What is the length of each side of the triangle?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, the length of each side is the perimeter divided by 3.  
The length of each side is 411 / 3 = <<411/3=137>>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?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  Therefore, to find the length of one side, we divide the perimeter by 3. 

114cm / 3 = 38cm

### Answer: 38cm 

Expected answer: 38

Correct? Yes

Problem: An equilateral triangle has a perimeter of 69m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three equal sides. 
To find the length of one side, we divide the perimeter by 3. 
So, the length of each side is 69m / 3 = 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?

Gemini-1.5 Flash:

Reasoning: The perimeter of a triangle is the sum of the lengths of all its sides.  To find the length of the third side, we subtract the lengths of the two known sides from the total perimeter.

Calculation: 907m - 464m - 377m = 66m 

### Answer: 66m

Expected answer: 66

Correct? Yes

Problem: An equilateral triangle has a perimeter of 966m. What is the length of each of its sides?

Gemini-1.5 Flash:

Reasoning: An equilateral triangle has three sides of equal length.  To find the length of one side, we divide the perimeter by 3. 
 
  
### Answer: 322m 

Expected answer: 322

Correct? Yes