A triangle has sides with lengths of 29 kilometers, 72 kilometers, and 80 kilometers. Is it a right triangle? yes no

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No, the triangle with sides of 29 kilometers, 72 kilometers, and 80 kilometers is **not** a right triangle.

**Explanation:**

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle:

$$ a^2 + b^2 = c^2 $$

where $$ c $$ is the longest side (the hypotenuse), and $$ a $$ and $$ b $$ are the other two sides.

Let's apply this to the given sides:

1. **Identify the longest side:**  
   $$ c = 80 $$ km

2. **Calculate $$ a^2 + b^2 $$:**  
   $$ 29^2 + 72^2 = 841 + 5184 = 6025 $$

3. **Calculate $$ c^2 $$:**  
   $$ 80^2 = 6400 $$

4. **Compare the two results:**  
   $$ 6025 \neq 6400 $$

Since $$ a^2 + b^2 $$ does not equal $$ c^2 $$, the triangle does not satisfy the Pythagorean theorem and therefore is not a right triangle.
The triangle is not a right triangle.

A triangle has sides with lengths of 29 kilometers, 72 kilometers, and 80 kilometers. Is it a right triangle? yes no

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