Prove that the medians of a triangle are concurrent and find the position vector of the point of concurrency (that is, the centroid of the triangle)

Prove using vectors: Medians of a triangle are concurrent.

Show,by vector methods,that the angularbisectors of a triangle are concurrent and find an expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

Prove that the medians of an equilateral triangle are equal.

Point where three medians of a triangle meet.

The point of concurrence of the altitudes of a triangle is called

The point of concurrency of the internal angular bisects of a triangle is

Prove that the internal bisectors of the angles of a triangle are concurrent

Show that the segments joining vertices to the centroid of opposite faces of a tetrahedron are concurren Hence find the position vector of the point of concurrence.

Prove that sum of any two medians of a triangle is greater than the third median.

From Fig.,write concurrent lines and their points of concurrence.