Question

If (1, 1, 1) is the centeroid of the triangle with (3,-5,7) and
(-1,7-6) as the 2 vertices .find the 3 vertex​

Answer 1

Answer:

(1,1,2)

Step-by-step explanation:

let the three Vertices of the triangle are A(3,-5,7) , B(-1,7,-6) , and C(x,y,z).

NOW since (1,1,1) is the Centroid

=> 1 = [ 3 + (-1) + x ] / 3 .........(1)

& 1 = [ (-5) + 7 + y ] / 3 ..........(2)

& 1 = [ 7 + (-6) + z ] / 3 .........(3)

from (1),

3 = x+2 => x = 1;

3 = y+2 => y = 1;

3= z + 1 => z = 2;

this implies A = (1,1,2)