Determine whether a Triangle with side lengths of 65, 72 and 97 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 = 65, b = 72, c = 97  (c cannot be less than a or b)
a² + b² = (65)² + (72)²
a² + b² = 4,225 + 5,184 = 9,409
c² = (97)² = 9,409
a² + b² = c²  (9,409 = 9,409)
Therefore, a Triangle with side lengths of 65, 72 and 97 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(65, 72, 97) = 1, they are a primitive Pythagorean Triple