Prove analytically that the medians of a triangle are concurrent.

Prove that the medians of a triangle are concurrent.

Prove analytically that the diagonals of a rectangle are equal

Show that the altitudes of a triangle are concurrent

Prove that the altitudes of a triangle are concurrent.

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

Prove that the medians of an equilateral triangle are equal.

Prove that the medians of an equilateral triangle are equal.

Prove using vectors: Medians of a triangle are concurrent.

The coordinates of points A, B and C are (1, 2), (-2, 1) and (0, 6) . Verify if the medians of the triangle ABC are concurrent..