Question 11
In the figure below, $\angle GCB=\angle ACE=\angle DFE=90^\circ$, and $\angle GBC=\angle EAC=\angle EDF=\theta^\circ$. Also, $GB=6$ cm, $AE=10$ cm and $DE=8$ cm. Let $S$ denote the sum of the areas of the triangles $ABC$ and $CDE$. Find the maximum possible value of $S$ (in cm$^2$).
