Generating Near-Isosceles Pythagorean Triples

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