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

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.