Which of the following is a possible length for side \(AB\) of triangle \(ABC\) if \(AC = 6\) and \(BC = 9?\)

I. \(3\)
II. \(9 \sqrt3\)
III. \(13.5\)

(A) I only
(B) II only
(C) III only
(D) II and III
(E) I, II, and III

Answer: C

Source: Manhattan GMAT