Congruent number triangles with the same hypotenuse
Number Theory
2025-07-28 v3
Abstract
In this article, we discuss whether a single congruent number can have two (or more) distinct triangles with the same hypotenuse. We also describe and carry out computational experimentation providing evidence that this does not occur.
Keywords
Cite
@article{arxiv.2002.01024,
title = {Congruent number triangles with the same hypotenuse},
author = {David Lowry-Duda and Brendan Hassett},
journal= {arXiv preprint arXiv:2002.01024},
year = {2025}
}
Comments
15 pages; includes appendix by Brendan Hassett; to appear in Simons Symposia