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  • . Fill in the blanks If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, – 3), E (3, 0, 1) and F (–1, 1, – 4), then the centroid of the triangle ABC is ________.

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If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, – 3), E (3, 0, 1) and F (–1, 1, – 4), then the centroid of the triangle ABC is ________.

Answers (1)

Given:

Mid-points of triangle ABC are D(1,2,-3), E(3,0,1) & F(-1,1,-4).

Now, the centroid of triangle DEF = Centroid of triangle ABC   ……. (from geometry of centroid)

Thus, centroid of triangle ABC,

G(1+3-1/3, 2+0+1/3, -3+1-4/3)  ≡  G(1,1,-2)

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