Question 10
$ABCD$ is the rectangle where $AB=12$ cm and $BC=5$ cm. $E$ is a point on the opposite side of $AB$ to $C$, as shown in the diagram below. If $AE=BE$ and the area of triangle $AEB$ is 36 $\mathrm{cm}^2$, find the area, in $\mathrm{cm}^2$, of triangle $AEC$.
