Question

The centroid of a triangle whose vertices are (1,5,-2) and (3,2,7)is (-1,2,3). Find the coordinated of third veryex

Answer 1

let try

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

-1=1+3+x/3

-3-4=x (centroid formula =x1+x2+x3/3)

x=-7

2=5+2+y/3

6-7=y

y=-1

3=-2+7+z/3

9-5=z

z=4

(-7,-1,4) is the third vertex

hope it helps you