A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 8, b = 15, c = 17 (c cannot be less than a or b)
a2 + b2 = (8)2 + (15)2
a2 + b2 = 64 + 225 = 289
c2 = (17)2 = 289
a2 + b2 = c2 (289 = 289)
Therefore, a Triangle with side lengths of 8, 15 and 17 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(8, 15, 17) = 1, they are a primitive Pythagorean Triple
From the given side lengths, let a = 8, b = 15, c = 17 (c cannot be less than a or b)
a2 + b2 = (8)2 + (15)2
a2 + b2 = 64 + 225 = 289
c2 = (17)2 = 289
a2 + b2 = c2 (289 = 289)
Therefore, a Triangle with side lengths of 8, 15 and 17 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(8, 15, 17) = 1, they are a primitive Pythagorean Triple
