Question

Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple?

Answer 1

They do.

According to the Pythagorean theorem:
c² = a² + b²

In a right triangle, the longest side is actually a hypotenuse: c = 25
a = 7
b = 24

25² = 7² + 24²
625 = 49 + 576
625 = 625

Therefore, the side lengths form a Pythagorean triple