Question

find the third vertex of a triangle if two of its vertices are (-3,1) and and (0,2) and centroid is at the origin​

Answer 1

Answer:

let the third vertex of triangle be( x,y)

centroid of triangle=[X1+X2+x3/3,y1+y2+y3/3]

(0,0)=[-3+0+x/3,1+2+y/3)

(0,0)=(-3+x/3,3+y/3)

0=-3+x/3, 0=3+y/3

-3+x=0,3+y=0

x=3,y=-3