Question 18In triangle $ABC$, $BC=10$, $CA=9$, $\cos C=5/14$. The bisector of $\angle C$ meets the circumcircle at $N\ (\ne C)$, the altitude from $A$ meets the circumcircle at $L\ (\ne A)$ and $NL$ intersects $BC$ at $M$. Find the length $MC$.