2005 OIM Problems/Problem 5
Problem
Let be the circumcenter of an acute triangle
and
be a point on the smallest arc
of the circumcircle of the triangle
. Let
and
be points on the sides
and
respectively such that
and
. Show that
The line
passes through the orthocenter of the triangle
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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