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Proof Without Words: Isosceles Dissections

by Des MacHale (University College Cork Ireland)

This article originally appeared in:
Mathematics Magazine
December, 2008

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

The author shows that every triangle can be dissected into four (acute triangles into three) isosceles triangles, and that a triangle can be dissected into two isosceles triangles if and only if one angle is three times another, or the triangle is a right triangle.

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