Write a paper on Pythagorean triples (numbers (a, b), and (c) that satisfy the Pythagorean theorem).

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Write a paper on Pythagorean triples (numbers \ (a, b\), and \(c\) that satisfy the Pythagorean theorem). For example, pick an odd positive integer; say 9 . Square it: 81.

Find consecutive integers that have the sum 81: 40 and 41 . You have generated a Pythagorean triple: \(9,40,41: 9^{2}+40^{2}=41^{2}\).

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