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Proof Without Words: Beyond Extriangles

by M. N. Deshpande (Nagpur India)

This article originally appeared in:
Mathematics Magazine
June, 2009

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

The creation of 'extriangles' based on a given triangle is iterated, giving rise to four quadrilaterals each with area five times the area of the original triangle.


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