G and G′ are the centroids of the two triangles ABC and A′B′C′
. Show thatIn a parallogram ABCD, P divides AB in the ratio 2 : 5 and Q divides DC in the
ratio 3 : 2. If AC and P Q intersect at R, find the ratios AR : RC and P R : RQ.
AA′ + BB′ + CC′ = 3GG′
.