+842 A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. Let's try this out with a particular triangle. Consider the triangle ABC with A=(0,0) B=(1,0) C=(0,1).
(a) Let D, E, F be the midpoints of BC, AB, AC respectively. Find the equations of medians AD, BE, CF and
(b) Show that the three medians in part (a) all pass through the same point.
