Determine whether a Triangle with side lengths of 28, 45 and 53 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 = 28, b = 45, c = 53  (c cannot be less than a or b)
a² + b² = (28)² + (45)²
a² + b² = 784 + 2,025 = 2,809
c² = (53)² = 2,809
a² + b² = c²  (2,809 = 2,809)
Therefore, a Triangle with side lengths of 28, 45 and 53 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(28, 45, 53) = 1, they are a primitive Pythagorean Triple