The figure shows a triangle ABC with DE bisector of angle ADC, BE = CE and BC tangent to the circumcircle of triangle ADC at C. Prove that the triangle BCE is equilateral.
See solution below
See also: Sketch and typography of problem 1347
Geometry Problems Ten problems: 1341-1350 Visual Index Open Problems All Problems Triangles Equilateral Triangle Angle Bisector Angles Congruence Circle Circumcircle Tangent line View or Post a solution