June 2022 Pairs of equiperimeter and equiareal triangles whose sides are perfect squares
Ajai Choudhry, Arman Shamsi Zargar
Funct. Approx. Comment. Math. 66(2): 245-251 (June 2022). DOI: 10.7169/facm/1985

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 a common area. We prove that there exist infinitely many such pairs of triangles and give several numerical examples.

Citation

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Ajai Choudhry. Arman Shamsi Zargar. "Pairs of equiperimeter and equiareal triangles whose sides are perfect squares." Funct. Approx. Comment. Math. 66 (2) 245 - 251, June 2022. https://doi.org/10.7169/facm/1985

Information

Published: June 2022
First available in Project Euclid: 22 December 2021

MathSciNet: MR4484250
zbMATH: 1502.11036
Digital Object Identifier: 10.7169/facm/1985

Subjects:
Primary: 11D41

Keywords: equiareal triangles , equiperimeter triangles , triangles with squared sides

Rights: Copyright © 2021 Adam Mickiewicz University

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Vol.66 • No. 2 • June 2022
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