Let A B C D be a cyclic quadrilateral. The side lengths of A B C D are distinct integers less than 15 such that B C \cdot C D=A B \cdot D A. What is the largest possible value of B D ?
Answer Choices
A. \sqrt{\dfrac{325}{2}}
B. \sqrt{185}
C. \sqrt{\dfrac{38 \overline{9}}{2}}
D. \sqrt{\dfrac{425}{2}}
E. \sqrt{\dfrac{533}{2}}