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Question

The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of

A and B are (3, -5, 7) and (-1, 7, -6) respectively, find the coordinates of

the point C.

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Solution

Let G be the centroid of ABC

Given : G (1, 1, 1)

Let C (x, y, z)

Then, 1 = 31+x3

3=31+x

3=2+xx=1

and 1 = 5+7+y3

3=2+y

y=1

and 1 = 76+z3

3=1+z

z = 2


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