A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 48, b = 64, c = 80 (c cannot be less than a or b)
a2 + b2 = (48)2 + (64)2
a2 + b2 = 2,304 + 4,096 = 6,400
c2 = (80)2 = 6,400
a2 + b2 = c2 (6,400 = 6,400)
Therefore, a Triangle with side lengths of 48, 64 and 80 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
From the given side lengths, let a = 48, b = 64, c = 80 (c cannot be less than a or b)
a2 + b2 = (48)2 + (64)2
a2 + b2 = 2,304 + 4,096 = 6,400
c2 = (80)2 = 6,400
a2 + b2 = c2 (6,400 = 6,400)
Therefore, a Triangle with side lengths of 48, 64 and 80 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
