MathDB
Right Angle in Acute Triangle...?

Source: OMM 2010 5

July 15, 2014
geometrycircumcirclepower of a pointradical axisgeometry unsolved

Problem Statement

Let ABCABC be an acute triangle with AB≠ACAB\neq AC, MM be the median of BCBC, and HH be the orthocenter of △ABC\triangle ABC. The circumcircle of BB, HH, and CC intersects the median AMAM at NN. Show that ∠ANH=90∘\angle ANH=90^\circ.
Back to ProblemsView on AoPS