A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 3, b = 4, c = 5 (c cannot be less than a or b)
a2 + b2 = (3)2 + (4)2
a2 + b2 = 9 + 16 = 25
c2 = (5)2 = 25
a2 + b2 = c2 (25 = 25)
Therefore, a Triangle with side lengths of 3, 4 and 5 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(3, 4, 5) = 1, they are a primitive Pythagorean Triple
From the given side lengths, let a = 3, b = 4, c = 5 (c cannot be less than a or b)
a2 + b2 = (3)2 + (4)2
a2 + b2 = 9 + 16 = 25
c2 = (5)2 = 25
a2 + b2 = c2 (25 = 25)
Therefore, a Triangle with side lengths of 3, 4 and 5 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(3, 4, 5) = 1, they are a primitive Pythagorean Triple