In geometry, a median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side, thus bisecting that side). Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangles centroid). The median of a triangle can be defined as a line segment drawn from a vertex of a triangle that bisects the opposite side of a triangle. The properties of the median of a triangle are:

• It bisects the opposite side into two equal parts.
• Every triangle has three medians, one from each vertex to its opposite side.
• No matter what the shape of the triangle is, the three medians always meet at a single point.
• The points where the three medians meet are called the centroid of the triangle.
• The median of a triangle divides the triangle into two triangles having equal area.
• The three medians of a triangle divide the triangle into six smaller triangles of equal area).

In summary, the median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side, bisecting that side and dividing the triangle into two smaller triangles of equal area.