Determine whether a Triangle with side lengths of 8, 15 and 17 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 = 8, b = 15, c = 17  (c cannot be less than a or b)
a² + b² = (8)² + (15)²
a² + b² = 64 + 225 = 289
c² = (17)² = 289
a² + b² = c²  (289 = 289)
Therefore, a Triangle with side lengths of 8, 15 and 17 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(8, 15, 17) = 1, they are a primitive Pythagorean Triple