2002 AMC 12A Problem 23

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects \angle ABC. If AD = 9 and DC = 7, what is the area of triangle ABD?

\text{(A)}\ 14 \qquad \text{(B)}\ 21 \qquad \text{(C)}\ 28 \qquad \text{(D)}\ 14\sqrt5 \qquad \text{(E)}\ 28\sqrt5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.