A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 12, b = 16, c = 20 (c cannot be less than a or b)
a2 + b2 = (12)2 + (16)2
a2 + b2 = 144 + 256 = 400
c2 = (20)2 = 400
a2 + b2 = c2 (400 = 400)
Therefore, a Triangle with side lengths of 12, 16 and 20 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
From the given side lengths, let a = 12, b = 16, c = 20 (c cannot be less than a or b)
a2 + b2 = (12)2 + (16)2
a2 + b2 = 144 + 256 = 400
c2 = (20)2 = 400
a2 + b2 = c2 (400 = 400)
Therefore, a Triangle with side lengths of 12, 16 and 20 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple