Question

centIUIU 10
A (3, 2) and B(-2, 1) are two vertices of a triangle ABC whose centroid C has the
coordinates (5/3,-1/3). Find the coordinates of the third vertex C of the triangle​

Answer 1

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Answer 2

Answer:

Let A(3,2),B(−2,1) and C(x,y) be the coordintes of a triangle.

Centroid(

2

5

,

3

−1

)=(

3

3−2+x

,

3

2+1+y

)

Equating the x−co-ordiantes and y−co-ordinates we get

3

1+x

=

2

5

2+2x=15

or x=

2

13

And

3

3+y

=

3

−1

y+3=−1 or y=−4

∴ the coordinate C is (

2

13

,−4)

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