A median of a triangle is a line joining one of the vertices to the mid-point of the opposite side.

A median of a triangle is a line joining one of the vertices to the mid-point of
the opposite side.

In a triangle OAB, O is at the origin, A is the point (0, 6) and B is the point (6, 0).

(i) Sketch the triangle.
(ii) Find the equations of the three medians of the triangle.
(iii) Show that the point (2, 2) lies on all three medians. (This shows that the medians of this triangle are concurrent.)

Solution: