+2651 A median of a triangle is a line segment from a vertex of a triangle to the midpoint of the opposite side of the triangle. Below, the three medians of the black triangle are shown in red.
Notice that the three medians appear to pass through the same point! Let's test this out with a specific triangle. Consider one specific triangle $ABC$ with $A = (0,0)$, $B = (1,0)$, and $C = (0,1)$. Do the three medians of this triangle pass through the same point? If so, what point?
