Question

a line connecting a vertex of a scalene triangle with the midpoint of the opposite side is the
a) median.
b) perpendicular bisector of the side.
c) altitude.
d) bisector of the angle at the vertex.

Explanation:

A median of a triangle is defined as a line segment that connects a vertex of the triangle to the mid - point of the opposite side.
A perpendicular bisector of a side of a triangle is a line that is perpendicular to the side and passes through its mid - point, but it doesn't necessarily connect to a vertex.
An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
An angle bisector is a line that divides an angle at a vertex into two equal angles.

Answer:

A. median.