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MathNet 2013 Question 73

Math Olympiad Vault · MathNet 2013

Question 73

In triangle $ABC$, the bisector $AD$ and the median $BE$ meet at $P$. The straight lines $AB$ and $CP$ meet at $F$. The parallel through $B$ at $CF$ meets the straight line $DF$ at $M$. Show that $DM = BF$.

Gheorghe Bumbăcea