Determine whether a Triangle with side lengths of 10, 10.5 and 14.5 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 = 10.5, c = 14.5  (c cannot be less than a or b)
a² + b² = (10)² + (10.5)²
a² + b² = 100 + 110.25 = 210.25
c² = (14.5)² = 210.25
a² + b² = c²  (210.25 = 210.25)
Therefore, a Triangle with side lengths of 10, 10.5 and 14.5 is a Right Triangle