MathDB
2008 JBMO Shortlist G2

Source: 2008 JBMO Shortlist G2

October 10, 2017
JBMOgeometry

Problem Statement

For a fixed triangle ABCABC we choose a point MM on the ray CACA (after AA), a point NN on the ray ABAB (after BB) and a point PP on the ray BCBC (after CC) in a way such that AM−BC=BN−AC=CP–ABAM -BC = BN- AC = CP – AB. Prove that the angles of triangle MNPMNP do not depend on the choice of M,N,PM, N, P .
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