MathDB
RMO 2016 ,Q1

Source: Oct 23,2016

October 25, 2016
geometryindia

Problem Statement

Let ABCABC be an isosceles triangle with AB=AC.AB=AC. Let Γ \Gamma be its circumcircle and let OO be the centre of Γ \Gamma . let COCO meet Γ \Gamma in D.D . Draw a line parallel to ACAC thrugh D.D. Let it intersect ABAB at E.E. Suppose AE:EB=2:1AE : EB=2:1 .Prove that ABCABC is an equilateral triangle.
Back to ProblemsView on AoPS