Centroid Of A Tetrahedron

Geometry Level 4

If \(P(x,y,z)\) is the centroid of the tetrahedron with vertices \(A(1,0,0), B(0,0,0), C(1,1,1)\) and \(D(0,0,1)\), then evaluate \(x+y+z\).


Image Credit: Wikimedia Aldoaldoz.
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