The center of gravity of a triangle

This is the simplest way that I've come up with so far to find the center of gravity of a triangle. Look at the figure below. The height of the triangle is h. Suppose there is a center of gravity P whose distance to the bottom line is hc. Divide the triangle into four congruent triangles. The height of the center triangle is h/2, so the distance from its top line to P is hc/2. Looking at the picture we now see that hc + hc/2 = h/2, i.e. c = 1/3.