MathDB
Config geo with line perpendicular to the A-median

Source: Iran MO 3rd Round 2024 Geometry Exam P2

August 27, 2024
geometry

Problem Statement

Let MM be the midpoint of the side BCBC of the △ABC\triangle ABC. The perpendicular at AA to AMAM meets (ABC)(ABC) at KK. The altitudes BE,CFBE,CF of the triangle ABCABC meet AKAK at P,QP, Q. Show that the radical axis of the circumcircles of the triangles PKE,QKFPKE, QKF is perpendicular to BCBC.
Back to ProblemsView on AoPS