Question 10
In the diagram, ABC and ACD are right-angled triangles with $\angle ABC=\angle ADC=90^\circ$, AB = 20, BC = 15, and CD = 7. Point E is the intersection of $\overline{AC}$ and $\overline{GF}$, where AE : EC = 2 : 3 and $\overline{AC}$ is perpendicular to $\overline{GF}$. What is the ratio of area BCG to area CEF?
