concurrent wanted, mixtilinear incircle from '99
Source: V Soros Olympiad 1998-99 Round 1 11.10 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 25, 2024
geometryconcurrency
Problem Statement
Consider a circle tangent to sides and (these sides are not equal) of triangle and the circumscribed circle around it. Let , and be the touchpoints of this circle with the sides of the triangle and with the circle circumscribed around it, respectively, and let be the midpoint of the arc (not containing ). Prove that the lines , and intersect at one point.