MathDB
collinearity

Source: INMO 2009 Problem 1

January 18, 2009
geometryrectangleparallelogramtrapezoidtrigonometryperpendicular bisectorgeometry unsolved

Problem Statement

Let ABC ABC be a tringle and let P P be an interior point such that \angle BPC \equal{} 90 ,\angle BAP \equal{} \angle BCP.Let M,N M,N be the mid points of AC,BC AC,BC respectively.Suppose BP \equal{} 2PM.Prove that A,P,N A,P,N are collinear.
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