A simple method for generating rational triangles

2008/07/07 by Konstantine Zelator, Zelator, Konstantine
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.0807.1073

8 pages and two figures

arxiv created 2008/07/07 · arxiv updated 2009/12/01

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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