MathDB
Indian RMO- Paper 2

Source: Problem 2

December 11, 2013
geometry unsolvedgeometry

Problem Statement

In a triangle ABCABC, ADAD is the altitude from AA, and HH is the orthocentre. Let KK be the centre of the circle passing through DD and tangent to BHBH at HH. Prove that the line DKDK bisects ACAC.