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Pythagorean Triples

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The numbers 3, 4, and 5 are called Pythagorean triples since 3² + 4² = 5². The numbers 5, 12, and a13 are also Pythagorean triples since 5² + 12² = 13². Can you find any other Pythagorean triples? Actually, there is a set of formulas that will generate an infinite number of Pythagorean triples. Research the topic of Pythagorean triples and write a brief report on the subject.
Make sure you select at least 5 Pythagorean triples and show why your 5 sets work in the Pythagorean Theorem formula

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