Czech-Polish-Slovak 2004
Source: easy?
December 6, 2009
geometrycyclic quadrilateralgeometry unsolved
Problem Statement
A point P in the interior of a cyclic quadrilateral ABCD satisfies ∠BPC = ∠BAP + ∠PDC. Denote by E, F and G the feet of the perpendiculars from P to the lines AB, AD and DC, respectively. Show that the triangles FEG and PBC are similar.