Find the centroid of a triangle, the mid-point of whose sides are D(1,2, – 3), E(3, 0, 1) and F(- 1,1, – 4).

Find the centroid of a triangle, the mid-point of whose sides are D(1,2, - 3), E(3, 0, 1) and F(- 1,1, - 4).

  1. A

    (1, 1, 2)

  2. B

    (1, 1, - 2)

  3. C

    (- 1, -1, -2)

  4. D

    (1, -1, -2)

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    Solution:

     Given, mid-point of sides of a triangle are D(1,2, -3),  E(3,0, 1 ) and F(-1,1, -4)

    Centroid of triangle 

    =1+313,2+0+13,3+143=33,33,63=(1,1,2)

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