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Proof without Words: Every Triangle Has Infinitely Many Inscribed Equilateral Triangles

by Sidney H. Kung (University of North Florida)

This article originally appeared in:
Mathematics Magazine
April, 2002

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

The author presents a visual proof that every triangle has infinitely many inscribed equilateral triangles. The technique begins with an equilateral triangle touching two sides and enlarges it until it hits the third side.

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