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

$\begin{array}{l}=\left(\frac{1+3-1}{3},\frac{2+0+1}{3},\frac{-3+1-4}{3}\right)\\ =\left(\frac{3}{3},\frac{3}{3},\frac{-6}{3}\right)=\left(1,1,-2\right)\end{array}$

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