First slide

Introduction to 3-D Geometry

Question

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).

Easy

A

(1, 1, 2)
B

(1, 1, - 2)
C

(- 1, -1, -2)
D

(1, -1, -2)

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

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