IfD2,1,0,E2,0,0,F0,1,0 are mid points of the sides BC,CA,ABof triangle ABCrespectively. Then, the centroid of triangleABC is
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a
−13,13,13
b
13,13,13
c
23,13,13
d
43,23,0
answer is D.
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Detailed Solution
Given areD,E,F midpoints of the sides of the triangle ABC, so that the centroid of the triangle ABC and the centroid of the triangle DEFare coincident. Hence, the centroid of the triangle DEFis 2+2+03,1+0+13,0+0+03=43,23,0Therefore, the centroid of the triangle ABC is 43,23,0