ABCD is a cyclic quadrilateral with AC as diameter. AD and BC extended meet at E. If AB = 2BC and AD = 3CD, prove that C is the midpoint of BE. This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
Geometry Problems Visual Index 1261-1270 Open Problems All Problems Triangles Cyclic Quadrilateral Circle Diameter Perpendicular lines Midpoint View or Post a solution