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The line through orthocenter and midpoint

Source: Turkey TST 2001 - P5

April 4, 2013
geometrycircumcirclegeometry proposed

Problem Statement

Let HH be the intersection of the altitudes of an acute triangle ABCABC and DD be the midpoint of [AC][AC]. Show that DHDH passes through one of the intersection point of the circumcircle of ABCABC and the circle with diameter [BH][BH].
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