AMC 12A 2006 Problem 16

Circles with centers A and B have radii 3 and 8 , respectively. A common internal tangent intersects the circles at C and D, respectively. Lines A B and C D intersect at E, and A E=5. What is C D ?

Answer Choices
A. 13
B. \dfrac{44}{3}
C. \sqrt{221}
D. \sqrt{255}
E. \dfrac{55}{3}