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Algebra Pythagorean Right Triangle- given 3 sides, is this a right triangle?

A http://www.door2math.com production. Algebra Pythagorean Triangle TIPS question. HELP? A triangle has sides: n, 1/2(n^2-1), 1/2(n^2+1) These sides ^^^ are random sides of the triangle. Algebraically prove whether this triangle is a right angled triangle.
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