[tex]\longrightarrow[/tex] Let us know about definition of altitude first. The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.
[tex]\leadsto[/tex]Median is the line segment from a vertex to the midpoint of the opposite side.
Let us Check all options one by one
CD is line segment which starts from vertex C but don't falls on opposite side AB thus it is not an altitude.❌
BA is line segment which starts from vertex B and falls perpendicularly on opposite sides AC and is thus an altitude.✔️
AD is line segment which starts from vertex A and falls perpendicularly on opposite side BC and is thus an altitude.✔️
AE is a line segment which starts from vertex A but doesn't falls perpendicularly on opposite side BC and is thus not an altitude.❌
AD falls on BC with D as mid point because BD = CD and is thus a median. ✔️
