Determine whether a Triangle with side lengths of 36, 48 and 60 is a Right Triangle

Given Side Lengths: 36, 48, 60
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 36, b = 48, c = 60  (c cannot be less than a or b)
a² + b² = (36)² + (48)²
a² + b² = 1,296 + 2,304 = 3,600
c² = (60)² = 3,600
a² + b² = c²  (3,600 = 3,600)
Therefore, a Triangle with side lengths of 36, 48 and 60 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple