A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 57, b = 76, c = 95 (c cannot be less than a or b)
a2 + b2 = (57)2 + (76)2
a2 + b2 = 3,249 + 5,776 = 9,025
c2 = (95)2 = 9,025
a2 + b2 = c2 (9,025 = 9,025)
Therefore, a Triangle with side lengths of 57, 76 and 95 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
From the given side lengths, let a = 57, b = 76, c = 95 (c cannot be less than a or b)
a2 + b2 = (57)2 + (76)2
a2 + b2 = 3,249 + 5,776 = 9,025
c2 = (95)2 = 9,025
a2 + b2 = c2 (9,025 = 9,025)
Therefore, a Triangle with side lengths of 57, 76 and 95 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple