AMC 10A 2012 Problem 11

Externally tangent circles with centers at points A and B have radii of lengths 5 and 3 , respectively. A line externally tangent to both circles intersects ray A B at point C. What is B C ?

Answer Choices
A. 4
B. 4.8
C. 10.2
D. 12
E. 14.4