Determine whether a Triangle with side lengths of 75, 100 and 125 is a Right Triangle

Given Side Lengths: 75, 125, 100
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 75, b = 100, c = 125  (c cannot be less than a or b)
a² + b² = (75)² + (100)²
a² + b² = 5,625 + 10,000 = 15,625
c² = (125)² = 15,625
a² + b² = c²  (15,625 = 15,625)
Therefore, a Triangle with side lengths of 75, 100 and 125 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple