A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 6, b = 8, c = 10 (c cannot be less than a or b)
a2 + b2 = (6)2 + (8)2
a2 + b2 = 36 + 64 = 100
c2 = (10)2 = 100
a2 + b2 = c2 (100 = 100)
Therefore, a Triangle with side lengths of 6, 8 and 10 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
From the given side lengths, let a = 6, b = 8, c = 10 (c cannot be less than a or b)
a2 + b2 = (6)2 + (8)2
a2 + b2 = 36 + 64 = 100
c2 = (10)2 = 100
a2 + b2 = c2 (100 = 100)
Therefore, a Triangle with side lengths of 6, 8 and 10 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple