A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 11, b = 60, c = 61 (c cannot be less than a or b)
a2 + b2 = (11)2 + (60)2
a2 + b2 = 121 + 3,600 = 3,721
c2 = (61)2 = 3,721
a2 + b2 = c2 (3,721 = 3,721)
Therefore, a Triangle with side lengths of 11, 60 and 61 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(11, 60, 61) = 1, they are a primitive Pythagorean Triple
From the given side lengths, let a = 11, b = 60, c = 61 (c cannot be less than a or b)
a2 + b2 = (11)2 + (60)2
a2 + b2 = 121 + 3,600 = 3,721
c2 = (61)2 = 3,721
a2 + b2 = c2 (3,721 = 3,721)
Therefore, a Triangle with side lengths of 11, 60 and 61 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(11, 60, 61) = 1, they are a primitive Pythagorean Triple