The mid points of the sides of a triangle are (1,5,-1)(0,4,-2) and (2,3,4) then centroid of the triangle

Question

The mid points of the sides of a triangle are (1,5,-1)(0,4,-2) and (2,3,4) then centroid of the triangle (A) (1,4,3) (B) (1,4, (1/3)) (C) (-1,4,3) (D) ((1/3), 2,4)

Tardigrade Admin · Accepted Answer

((1+0+2/3), (5+4+3/3), (-1-2+4/3)) (1,4, (1/3))

Q. The mid points of the sides of a triangle are $(1, 5, - 1) (0, 4, - 2)$ and $(2, 3, 4)$ then centroid of the triangle

$(1, 4, 3)$

$(1, 4, \frac{1}{3})$

$(- 1, 4, 3)$

$(\frac{1}{3}, 2, 4)$

$(\frac{1 + 0 + 2}{3}, \frac{5 + 4 + 3}{3}, \frac{- 1 - 2 + 4}{3})$
$(1, 4, \frac{1}{3})$

Q. The mid points of the sides of a triangle are (1,5,−1)(0,4,−2) and (2,3,4) then centroid of the triangle

(1,4,3)

(1,4,31​)

(−1,4,3)

(31​,2,4)