Circumcenter on BC, Angle Bisectors
Source: 2022 Israel TST 8 P3
May 21, 2022
geometrycircumcircleIMO 2022 tstangle bisectorcircles
Problem Statement
In triangle , the angle bisectors are and (where are on the sides of the triangle), and their intersection point is . Point lies on the circumcircle of , and the angle is right. The circumcircle of meets the line a second time at the point . Show that the circumcenter of lies on line .