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A Non-Visual Counterexample in Elementary Geometry

by Marita Barabash (Achva Academic College of Education, Israel)

This article originally appeared in:
College Mathematics Journal
November, 2005

Subject classification(s): Geometry and Topology | Geometric Proof
Applicable Course(s): 4.9 Geometry

Must triangles with equal areas and perimeters be congruent? If the area increases, must the perimeter also?


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