Determine whether a Triangle with side lengths of 51, 68 and 85 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 = 51, b = 68, c = 85  (c cannot be less than a or b)
a² + b² = (51)² + (68)²
a² + b² = 2,601 + 4,624 = 7,225
c² = (85)² = 7,225
a² + b² = c²  (7,225 = 7,225)
Therefore, a Triangle with side lengths of 51, 68 and 85 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple