For triangles, we define the following two specific line segments:
Note that a median is always internal as it joins a vertex to the opposite midpoint, but an altitude can be external to the triangle.
It is possible for a line segment to be both a median and an altitude of a triangle - this occurs when the triangle is iscoseles, and the median connects to the midpoint of the base.
Determine if \overline{AX} is a median, altitude, both, or neither.
In the following diagram, \overline{BD} is a median. If all measurements are in inches, determine the length of leg \overline{CB}.