Hi Forum!

I've been introduced to the Law of Tangents and I have some doubts about it.

In $\displaystyle \Delta ABC$, let D be a point in BC such that AD bisects angle A. Given that AD=6, BD=4, and DC=3, find AB.

Is there any other possibility?

Is the Law of Tangents really needed here? If so, how do we use it?

Thanks!