English

A simple method for generating rational triangles

General Mathematics 2008-07-08 v1

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.

Keywords

Cite

@article{arxiv.0807.1073,
  title  = {A simple method for generating rational triangles},
  author = {Konstantine Zelator},
  journal= {arXiv preprint arXiv:0807.1073},
  year   = {2008}
}

Comments

8 pages and two figures

R2 v1 2026-06-21T10:58:09.928Z