IMO Shortlist 1996 problem G3


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Let O be the circumcenter and H the orthocenter of an acute-angled triangle ABC such that BC>CA. Let F be the foot of the altitude CH of triangle ABC. The perpendicular to the line OF at the point F intersects the line AC at P. Prove that \measuredangle FHP=\measuredangle BAC.
Izvor: Međunarodna matematička olimpijada, shortlist 1996