IMO 1988 LL INA41
(a) Let ABC be a triangle with AB = 12 and AC = 16. Suppose M is the
IMO 1988 LL INA41
Origin: INA
Problem
(a) Let ABC be a triangle with AB = 12 and AC = 16. Suppose M is the midpoint of side BC and points E and F are chosen on sides AC and AB respectively, and suppose that the lines EF and AM intersect at G. If AE = 2AF then find the ratio EG/GF. (b) Let E be a point external to a circle and suppose that two chords EAB and ECD meet at an angle of 40◦. If AB = BC = CD, find the size of \angleACD.