Question 23Circles with centers $A$ and $B$ have radii $3$ and $8,$ respectively. A common internal tangent touches the circles at $C$ and $D,$ as shown. Lines $AB$ and $CD$ intersect at $E,$ and $AE = 5.$ What is $CD?$ $13$$\dfrac{44}{3}$$\sqrt{221}$$\sqrt{255}$$\dfrac{55}{3}$
