Question 20
In the triangle $ABC$ with circumcircle $\omega$, $CA=12$, $BC=9$, $\angle C=90^\circ$, the tangent to $\omega$ at $C$ intersects $AB$ produced at $D$. Let $E$ be the midpoint of $CD$. The point $F$ is on $EB$ produced such that $AF$ is parallel to $CD$. Find the area of the triangle $ABF$.