Determine whether a Triangle with side lengths of 25, 60 and 65 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 = 25, b = 60, c = 65  (c cannot be less than a or b)
a² + b² = (25)² + (60)²
a² + b² = 625 + 3,600 = 4,225
c² = (65)² = 4,225
a² + b² = c²  (4,225 = 4,225)
Therefore, a Triangle with side lengths of 25, 60 and 65 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple