Question

Find the centroid of the tetrahedron with vertices A(3, -5, 7), B(5, 4,2), C (7,-7, -3) and D(1,0,2).​

Answer 1

Answer: centroid of the tetrahedron with vertices A , B , C , D is (4,-2,2)

Step-by-step explanation:

vertices of the tetrahedron are A(3,-5,7),B(5,4,2),C(7,-7,-3) and D(1,0,2)

Centroid of the tetrahedron is

{(3+5+7+1)/4 , (-5+4-7+0)/4 , (7+2-3+2)/4}

i.e. (4,-2,2)

centroid of the tetrahedron with vertices A , B , C , D is (4,-2,2)