compurational geo with 2 circumcircles and angle bisector
Source: III Soros Olympiad 1996-97 R2 9.3 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 31, 2024
geometryangle bisector
Problem Statement
In triangle , sides and are equal to and , respectively. The bisector of the angle intersects the side at the point and the circumscribed circle of the triangle at point . The circumscribed circle of the triangle intersects for second time the straight line at the point . Find the length of the segment .