Question 88
Quadrilateral $ABCD$ has right angles at $A$ and $D$. A circle of radius $10$ fits neatly inside the quadrilateral and touches all four sides. The length of edge $BC$ is $24$. The midpoint of edge $AD$ is called $E$ and the midpoint of edge $BC$ is called $F$. What is the length of $EF$?
A) $\frac{43}{2}$
B) $\frac{13}{2}\sqrt{11}$
C) $\frac{33}{5}\sqrt{11}$
D) $22$
E) $\frac{45}{2}$
A) $\frac{43}{2}$
B) $\frac{13}{2}\sqrt{11}$
C) $\frac{33}{5}\sqrt{11}$
D) $22$
E) $\frac{45}{2}$