Question

The centroid of a triangle ABC is at the point (1, 1, 1). If the co-ordinates of

A and B are (3, -5, 7) and (-1, 7, -6) respectively. Find the co-ordinates of the

point C​

Answer 1

Answer:

C(1,1,2)

Step-by-step explanation:

let coordinates be A(x1,y1,z1) , B(x2,y2,z2) , C(x3,y3,z3) and centroid G(X,Y,Z)

X=$\frac{x1+x2+x3}{3}$          Y= $\frac{y1+y2+y3}{3}$       Z= $\frac{z1+z2+z3}{3}$

1 =$\frac{3-1+x3}{3}$              1 = $\frac{-5+7+y3}{3}$        1= $\frac{7-6+z3}{3}$

2+x3=3                 2+y3=3             1+z3=3

x3 = 1                    y3= 1                  z3 = 2

C(1,1,2)