Determine whether a Triangle with side lengths of 10, 24 and 26 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 = 10, b = 24, c = 26  (c cannot be less than a or b)
a² + b² = (10)² + (24)²
a² + b² = 100 + 576 = 676
c² = (26)² = 676
a² + b² = c²  (676 = 676)
Therefore, a Triangle with side lengths of 10, 24 and 26 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple