Question

9.A (4,8), B(-2, 6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2, 7).​

Answer 1

Step-by-step explanation:

Correct option is

B

(4,7)

3

x

1

+x

2

+x

3

=2

3

y

1

+y

2

+y

=7

and,

(x

1

,y

1

)≡(4,8)

(x

2

,y

2

)≡(−2,6)

So,x

1

+x

2

=+2

Now,

x

1

+x

2

+x

3

=2×3

1+x

2

=6

x

3

=4

and,

3

y

1

+y

2

+y

3

=7

y

1

+y

2

+y

3

=21

y

1

+y

2

=8+6=14

y

3

=21−14

=4

So,(4,7)istherequiredpoints.