Question 14
In $\triangle ABC,$ $AB = 13,$ $AC = 5$ and $BC = 12.$ Points $M$ and $N$ lie on $\overline{AC}$ and $\overline{BC},$ respectively, with $CM = CN = 4.$ Points $J$ and $K$ are on $\overline{AB}$ so that $\overline{MJ}$ and $\overline{NK}$ are perpendicular to $\overline{AB}.$ What is the area of pentagon $CMJKN?$
