MathDB
tangents and angle bisector

Source: 2013 cwmi q7

August 19, 2013
trigonometrygeometry

Problem Statement

Let PA,PBPA, PB be tangents to a circle centered at OO, and CC a point on the minor arc ABAB. The perpendicular from CC to PCPC intersects internal angle bisectors of AOC,BOCAOC,BOC at D,ED,E. Show that CD=CECD=CE