Pairs of equiperimeter and equiareal triangles whose sides are perfect squares

Ajai Choudhry; Arman Shamsi Zargar

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arXiv · 2104.06270

Pairs of equiperimeter and equiareal triangles whose sides are perfect squares

Ajai Choudhry·Arman Shamsi Zargar

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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.

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Ajai Choudhry, Arman Shamsi Zargar. 2021-04-13. Pairs of equiperimeter and equiareal triangles whose sides are perfect squares. https://arxiv.org/abs/2104.06270

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