MathDB
Prove that triangle is isoceles

Source: INMO 2014 - Problem 1

February 2, 2014
geometryanalytic geometrytrigonometrytrapezoidperpendicular bisectorcyclic quadrilateraltrig identities

Problem Statement

In a triangle ABCABC, let DD be the point on the segment BCBC such that AB+BD=AC+CDAB+BD=AC+CD. Suppose that the points BB, CC and the centroids of triangles ABDABD and ACDACD lie on a circle. Prove that AB=ACAB=AC.
Back to ProblemsView on AoPS