Determine whether a Triangle with side lengths of 48, 64 and 80 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 = 48, b = 64, c = 80  (c cannot be less than a or b)
a² + b² = (48)² + (64)²
a² + b² = 2,304 + 4,096 = 6,400
c² = (80)² = 6,400
a² + b² = c²  (6,400 = 6,400)
Therefore, a Triangle with side lengths of 48, 64 and 80 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple