# Euclid's Formula and Properties of Pythagorean Triples

Euclid's Formula and Properties of Pythagorean Triples

A Pythagorean triple consists of three integers , and , such that +=. If , and are relatively prime, they form a primitive Pythagorean triple. Euclid’s formula generates a Pythagorean triple for every choice of positive integers and . Adjust the sliders to change the generating integers and see which of the tests are satisfied by the triple generated. Checkboxes apply additional restrictions.

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