Prove that the medians of a triangle are concurrent.

Prove that the altitudes of a triangle are concurrent.

Show that the altitudes 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..

Prove using vectors: Medians of a triangle are concurrent.

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.

Show that the perpendicular bisectors of the sides 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 any two sides of a triangle are together greater than twice the median drawn to the third side.