triangle problem
Source: China south east mathematical olympiad 2004 day1 problem 2
June 29, 2013
geometry unsolvedgeometry
Problem Statement
In ABC, points D, M lie on side BC and AB respectively, point P lies on segment AD. Line DM intersects segments BP, AC (extended part), PC (extended part) at E, F and N respectively. Show that if DE=DF, then DM=DN.