2017 OIM Problems/Problem 2
Problem
Let be a right triangle and its circumcircle. Let be a point on the segment , distinct from and , and let be the midpoint of . The line perpendicular to passing through cuts at and at , with point between and . The lines and intersect at the point . If , show that the line is tangent to .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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