A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 48, b = 55, c = 73 (c cannot be less than a or b)
a2 + b2 = (48)2 + (55)2
a2 + b2 = 2,304 + 3,025 = 5,329
c2 = (73)2 = 5,329
a2 + b2 = c2 (5,329 = 5,329)
Therefore, a Triangle with side lengths of 48, 55 and 73 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(48, 55, 73) = 1, they are a primitive Pythagorean Triple
From the given side lengths, let a = 48, b = 55, c = 73 (c cannot be less than a or b)
a2 + b2 = (48)2 + (55)2
a2 + b2 = 2,304 + 3,025 = 5,329
c2 = (73)2 = 5,329
a2 + b2 = c2 (5,329 = 5,329)
Therefore, a Triangle with side lengths of 48, 55 and 73 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(48, 55, 73) = 1, they are a primitive Pythagorean Triple
