computational with circumcircle and incircle
Source: VII Soros Olympiad 2000-01 Round 1 , 10.6
July 4, 2021
geometrycircumcircleincircle
Problem Statement
A circle is inscribed in triangle . and are the points of its tangency with the sides and , respectively. The segment intersects at point and the inscribed circle at point . It is known that , . Find .