Determine whether a Triangle with side lengths of 28, 195 and 197 is a Right Triangle

Given Side Lengths: 28, 195, 197
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 28, b = 195, c = 197  (c cannot be less than a or b)
a2 + b2 = (28)2 + (195)2
a2 + b2 = 784 + 38,025 = 38,809
c2 = (197)2 = 38,809
a2 + b2 = c2  (38,809 = 38,809)
Therefore, a Triangle with side lengths of 28, 195 and 197 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(28, 195, 197) = 1, they are a primitive Pythagorean Triple

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