Median of a triangle: A median of a

A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex. In the figure, AD is the median that divides BC into two equal halves, that is, DB = DC. The theorem for the median of triangles states that the medians of a triangle intersect at a point called the centroid, which is two-thirds of the distance from the vertex to the opposite side. Median of a triangle construction with compass and straightedge or ruler. A triangle has three medians. They are lines linking each vertex to the midpoint of the opposite side. We first find the midpoint, then draw the median . A Euclidean construction. In a triangle , median is a line segment joining a vertex to the midpoint of the corresponding opposite side. There are three medians for a triangle . In ΔABC shown below, D is the midpoint of side BC and AD is the median through the vertex A.