A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 7, b = 24, c = 25 (c cannot be less than a or b)
a2 + b2 = (7)2 + (24)2
a2 + b2 = 49 + 576 = 625
c2 = (25)2 = 625
a2 + b2 = c2 (625 = 625)
Therefore, a Triangle with side lengths of 7, 24 and 25 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(7, 24, 25) = 1, they are a primitive Pythagorean Triple
From the given side lengths, let a = 7, b = 24, c = 25 (c cannot be less than a or b)
a2 + b2 = (7)2 + (24)2
a2 + b2 = 49 + 576 = 625
c2 = (25)2 = 625
a2 + b2 = c2 (625 = 625)
Therefore, a Triangle with side lengths of 7, 24 and 25 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(7, 24, 25) = 1, they are a primitive Pythagorean Triple
