Question

Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Answer 1

At centroid medians bisect each other in the ratio 2:1

$\\ \sf\longmapsto OC=2(OD)$

$\\ \sf\longmapsto 2(3x-2)=5x$

$\\ \sf\longmapsto 6x-4=5x$

$\\ \sf\longmapsto 6x-5x=4$

$\\ \sf\longmapsto x=4$