Geometry Problems, Online Education

Problem 721: Triangle, Orthocenter, Circumcircle, Altitude, Collinear. HS, College

In the figure below, H is the orthocenter of triangle ABC and AH, BH, CH extended meet the circumcircle O at A', B', C', respectively. P is a point on the circumcircle O and PA', PB', PC' meet BC, AC, AB at A", B", C", respectively. Prove that B", C" ,H ,A" are collinear.

Triangle, CIrcumcircle, Orthocenter, ALtitude, Collinear points


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