alleryThe centroid of the tetrahedron with vertices $A(3, -5, 7),\ B(5, 4, 2),\ C(7, -7, -3),\ D(1, 0, 2)$ is:
A$(4, -2, 2)$
B$(16, -8, 8)$
C$(4, -4, 2)$
D$(5, -2, 3)$
Answer & Solution
Correct answer: A. $(4, -2, 2)$
$G = (A+B+C+D)/4 = ((3+5+7+1)/4, (-5+4-7+0)/4, (7+2-3+2)/4) = (16/4, -8/4, 8/4) = (4, -2, 2)$.
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