Pairs of equiperimeter and equiareal triangles whose sides are perfect squares
Number Theory
2021-04-14 v1
Abstract
In this paper we consider the problem of finding pairs of triangles whose sides are perfect squares of integers, and which have a common perimeter and common area. We find two such pairs of triangles, and prove that there exist infinitely many pairs of triangles with the specified properties.
Keywords
Cite
@article{arxiv.2104.06270,
title = {Pairs of equiperimeter and equiareal triangles whose sides are perfect squares},
author = {Ajai Choudhry and Arman Shamsi Zargar},
journal= {arXiv preprint arXiv:2104.06270},
year = {2021}
}
Comments
6 pages