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 centroid of a triangle is the point at which the three medians intersect. It is referred to as the "center of mass" or "balance point" of the triangle. The median of a triangle has the following properties:

• It bisects the opposite side, dividing it into two equal parts.
• The median of a triangle further divides the triangle into two triangles having the same area.
• Irrespective of the shape or size of a triangle, its three medians always meet at a single point, which is the centroid of the triangle).

In summary, a 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. The three medians of a triangle always intersect at a single point, which is the centroid of the triangle.