Question

The vertices of triangle abc has position vectors a b c related to some origin. Find the position vectors of the centroid of the triangle

Answer 1

Given the coordinates of the three vertices of a triangle ABC, 
the centroid O coordinates are given by

Ox=Ax+Bx+Cx3
Oy=Ay+By+Cy3
where Ax and Ay are the x and y coordinates of the point A etc..