Determine whether a Triangle with side lengths of 5, 12 and 13 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 = 5, b = 12, c = 13  (c cannot be less than a or b)
a² + b² = (5)² + (12)²
a² + b² = 25 + 144 = 169
c² = (13)² = 169
a² + b² = c²  (169 = 169)
Therefore, a Triangle with side lengths of 5, 12 and 13 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(5, 12, 13) = 1, they are a primitive Pythagorean Triple