# A Pre-RMO question! -28

Geometry Level 4

Let line $\overline{AC}$ be perpendicular to line $\overline{CE}$. Connect $A$ to the mid-point of $\overline{CE}$ which is $D,$ and connect $E$ to the mid-point of $\overline{AC}$ which is $B$.

If $\overline{AD}$ and $\overline{EB}$ intersect at point $F$, $\overline{BC}=\overline{CD}=15cm$, and area of $\triangle DFE$ is $x\space cm^2$ find $x$.

×