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Proof without Words: Viviani's Theorem

by Ken-ichiroh Kawasaki (Nara University of Education Japan)

This article originally appeared in:
Mathematics Magazine
June, 2005

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

In an equilateral triangle, the sum of the distances from any interior point to the three sides is equal to the altitude of the triangle.

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