MathDB

2

Part of 2004 South East Mathematical Olympiad

Problems(1)

triangle problem

Source: China south east mathematical olympiad 2004 day1 problem 2

6/29/2013
In △\triangleABC, 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.
geometry unsolvedgeometry