MathDB

1

Part of 2009 India National Olympiad

Problems(1)

collinearity

Source: INMO 2009 Problem 1

1/18/2009
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.
geometryrectangleparallelogramtrapezoidtrigonometryperpendicular bisectorgeometry unsolved