Determine whether a Triangle with side lengths of 24, 45 and 51 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 = 45, c = 51  (c cannot be less than a or b)
a² + b² = (24)² + (45)²
a² + b² = 576 + 2,025 = 2,601
c² = (51)² = 2,601
a² + b² = c²  (2,601 = 2,601)
Therefore, a Triangle with side lengths of 24, 45 and 51 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple