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SMO 2019 Open Round 1 Question 15

SMO · SMO 2019 Open Round 1

Question 15

In the triangle $ABC$, $AB=209$, $BC=171$, $CA=190$, $M$ is the midpoint of $BC$. Point $L$ is in the extension of $BA$ and point $N$ is in the extension of $MA$ such that $C,L,N$ are collinear and $AL=NL$. Find the length of $AN$.