Question

centroid of triangle ABC at the point (1,1,1) if the coordinate of A and C are (3,-5,7) and (1,1,2) respectively. Find coordinate of point B​

Answer 1

Answer:

Step-by-step explanation:

Coordinates of A≡ (3, -5, 7) and C≡ (1, 1, 2)

Coordinates of centroid G≡ (1, 1, 1)

Let coordinates of B≡ (x, y, z)

Now,

$(\frac{3+1+x}{3}, \frac{-5 +1+y}{3}, \frac{7+2+z}{3})=(1, 1, 1)$

$\implies \frac{4+x}{3}=1,\frac{-4+y}{3}=1, \frac{9+z}{3}=1$

$\implies x=-1, y=7 \:and\: z=-6$

Hence, the required coordinates of point B≡(-1, 7, -6)