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arXiv · 0807.1073

A simple method for generating rational triangles

Konstantine Zelator
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Abstract

In the early part of the paper, various geometrical formulas are derived. Then, at some point in the paper, the concept of a Pythagorean rational is introduced. A Pythagorean rational is a rational number which is the ratio of two integers which are the leglengths of a Pythagorean triangle. Using the idea of Pythagorean rationals, we generate two families of rational triangles. We define a rational triangle to be a triangle with rational sidelengths and area.

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Konstantine Zelator. 2008-07-07. A simple method for generating rational triangles. https://arxiv.org/abs/0807.1073

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