In a triangle ABC, H is the orthocenter (see the figure below). Lines DEF and GJK are perpendicular at H so that G and F are on AB, D and K on BC, E and J on AC. Prove that the circumcircles of triangles EHJ, FHG, and DHK meet at a point P.
Geometry Problems Visual Index 1251-1260 Open Problems All Problems Triangles Circle Circumcircle Altitude Orthocenter Perpendicular lines Right Triangle Concurrency View or Post a solution