2006 OIM Problems/Problem 1
Problem
In the scalene triangle , with , the inscribed and circumscribed circles are considered. The tangent line at to the circumcircle intersects the line at . Let and be the points of tangency of the circle inscribed with the lines and , respectively. Line intersects line at . Lines and meet at . Show that the triangle is isosceles.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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