Given two integers a and b we can make a right triangle with these three...

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Given two integers a and b we can make a right triangle with these three side lengths 1 a b 2 a 6 3 2ab If this is a right triangle then the Pythagorean theorem should apply In other words a b 2ab a b Prove that all values of a and b make right triangles by showing that the above equation is an identity Period

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