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Amicable Heron triangles

2021/01/24 by Iwan Praton, Praton, Iwan, Nart Shalqini +1 · 1 citation
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Mathematics and Applications #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2101.09768

openalex publication_date 2021/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Heron triangle is a triangle whose side lengths and area are integers. Two Heron triangles are amicable if the perimeter of one is the area of the other. We show, using elementary techniques, that there is only one pair of amicable Heron triangles.

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