Pairs of equiperimeter and equiareal triangles whose sides are perfect squares

Published 13 Apr 2021 in math.NT | (2104.06270v1)

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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