Pythagorean Triples Calculator

The applet below makes use of the three parameter family of formulas for the pythagorean triples

a = (N² - M²)·k,
b = 2NM·k,
c = (N² + M²)·k.

N is supposed to be greater than M so that a is always positive. For k = 1, the numbers a, b, c may be mutualy prime, in which case the triple (a, b, c) is called primitive.

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Explanation

(There is a different, more geometric, illustration of the process of computing Pythagorean triples.)

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