Question 15
In $\triangle ABC$, $\overline{AC}=5 \text{ cm}$ and $\overline{BC}=9 \text{ cm}$. From the midpoint of the side $AB$ a perpendicular is erected which intersects the side $BC$ at the point $E$. The point $E$ is joined to the vertex $A$. Calculate the perimeter of $\triangle AEC$.

