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The Class of Heron Triangles

by Raymond A. Beauregard (University of Rhode Island)

This article originally appeared in:
Mathematics Magazine
October, 2008

Subject classification(s): Triangles | Plane Geometry | Geometry and Topology
Applicable Course(s): 4.9 Geometry

The author shows that every Heron triangle is similar to one with sides \(r + 1/r\), \(s + 1/s\), and \(r - 1/r + s -1/s\) for rational numbers \(r\) and \(s\) greater than one.

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