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Generating Near-Isosceles Pythagorean Triples

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The identity is of the form of a Pythagorean triple , with , . [more]

Since , this evidently represents a near-isosceles right triangle.

This Demonstration shows this result for selected values of from 1 to 20.

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Contributed by: S. M. Blinder (January 2019)
Open content licensed under CC BY-NC-SA

Details

A somewhat similar formula for triples, known to Pythagoras and the Babylonians, is given by

.

Reference

[1] E. W. Weisstein. "Pythagorean Triple" from Wolfram MathWorld—A Wolfram Web Resource. mathworld.wolfram.com/PythagoreanTriple.html (Wolfram MathWorld).

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