Question 70
Let $ABCD$ be a rectangle such that $AB = \sqrt{2} BC$. Let $E$ lie on the semicircle with diameter $AB$, as shown. Let $K,L$ be the intersections of $AB$ with $ED,EC$, respectively. If $AK = 2\ \mathrm{cm}$ and $BL = 9\ \mathrm{cm}$, calculate the length of $KL$ in $\mathrm{cm}$.
