Question

Find the coordinates of centroid of ABC where A (3,4), B (5, 8) and C (–4, 9)​

Answer 1

Answer:

(x

1

=−3,y

1

=0),(x

2

=5,y

2

=−2),(x

3

=−8,y

3

=5)

Let G(x,y) be the centroid of △ABC.

We know, coordinates of centroid of triangle with vertices (x

1

,y

1

),(x

2

,y

2

),(x

3

,y

3

) are

(

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)

Thus,

x=

3

1

(−3+5−8)=−2

y=

3

1

(0−2+5)=1

Therefore, the centroid of △ABC is G(−2,1).

Answer 2

1. X,Y
2. X,Y
3. -X,Y

• THESE ARE THE COORDINATES