# Pythagorean triples

There is a set of formulas that will generate an infinite number of Pythagorean triples. Please find at least five more in addition to 3, 4 , 5 12, and 13, and show why your 5 sets of Pythagorean Triples work in the Pythagorean Theorem formula.

Please solve the following problem and provide detail steps?

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#### Solution Preview

There is a set of formulas that will generate an infinite number of Pythagorean triples. Please find at least five more in addition to 3, 4 , 5 12, and 13, and show why your 5 sets of Pythagorean Triples work in the Pythagorean Theorem formula.

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The Pythagorean Triples Theorem shows us how to find primitive Pythagorean triples. It states that every primitive Pythagorean triple (a, b, c), with a odd and b even, can be found using the formulas

a = st, b = (s2 - t2)/2, and c = (s2 + t2)/2

where s > t ≥ 1 are chosen to be ...

#### Solution Summary

The expert examines pythagorean triples in a formula with infinite numbers.