A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 24, b = 70, c = 74 (c cannot be less than a or b)
a2 + b2 = (24)2 + (70)2
a2 + b2 = 576 + 4,900 = 5,476
c2 = (74)2 = 5,476
a2 + b2 = c2 (5,476 = 5,476)
Therefore, a Triangle with side lengths of 24, 70 and 74 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
From the given side lengths, let a = 24, b = 70, c = 74 (c cannot be less than a or b)
a2 + b2 = (24)2 + (70)2
a2 + b2 = 576 + 4,900 = 5,476
c2 = (74)2 = 5,476
a2 + b2 = c2 (5,476 = 5,476)
Therefore, a Triangle with side lengths of 24, 70 and 74 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
