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When a tangent line meets a rhombus..

Source: Tuymaada 2000, day 1, problem 2.

April 30, 2007
geometryrhombusinradiusgeometry proposed

Problem Statement

A tangent ll to the circle inscribed in a rhombus meets its sides ABAB and BCBC at points EE and FF respectively. Prove that the product AEā‹…CFAE\cdot CF is independent of the choice of ll.
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