Geometry

In triangle ABC, let D be a point on side \overline{BC}.  Select all the true statements.

If $\overline{AD}$ is an altitude of triangle $ABC,$ then AB > BC.
If $\overline{AD}$ is a median of triangle $ABC,$ then AB > BC.
If $\overline{AD}$ is an angle bisector of triangle ABC, then AB > BC.