Question

The coordinates of the vertex A of Triangle ABC are ( -4 ,2) and D the mid-point of BC are ( 2 , 5 ).Find the

coordinates of the centroid .

Answer 1

(0,4)

Explanation:

The line AD is a median, because D is the midpoint of BC.

The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D

xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0

yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4

(0,4)