MathDB
Similar Triangles

Source: OMM 2009 1

July 15, 2014
geometry unsolvedgeometry

Problem Statement

In △ABC\triangle ABC, let DD be the foot of the altitude from AA to BCBC. A circle centered at DD with radius ADAD intersects lines ABAB and ACAC at PP and QQ, respectively. Show that △AQP∼△ABC\triangle AQP\sim\triangle ABC.
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