Question: what is the equation for a centroid?
Answer: The centroid is the intersection of the three medians. The three medians also divide the triangle into six triangles, each of which have the same area. The centroid divides each median into two parts, which are always in the ratio 2:1. A B 2 + B C 2 + C A 2 = 3 ( G A 2 + G B 2 + G C 2 ) .