Determine whether a Triangle with side lengths of 24, 32 and 40 is a Right Triangle

A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 24, b = 32, c = 40  (c cannot be less than a or b)
a² + b² = (24)² + (32)²
a² + b² = 576 + 1,024 = 1,600
c² = (40)² = 1,600
a² + b² = c²  (1,600 = 1,600)
Therefore, a Triangle with side lengths of 24, 32 and 40 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple