Question

A line passes through a centroid of a triangle. Is this line always a median of the triangle? Answer in Yes/No.

Answer 1

Median is a line from a vertex of a triangle to the midpoint of its opposite side.

The point where all the medians intersect is the centroid of the triangle.

However, any line which passes through the centroid which does not pass through a vertex of triangle and does not pass through the midpoint of the opposite side of the vertex is not a median