1990 OIM Problems/Problem 2
Problem
In a triangle , let be the center of the inscribed circle and , and be its points of tangency with the sides , and , respectively. Let be the other point of intersection of the line with the inscribed circle.
If is the midpoint of , show that the four points , , and belong to the same circle.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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