Question

1 if (7-5) (-2 5) and (4 6) are the vertices of a triangle then the centriod is

1 (3,2)
2(2,3)
3(3,2)
4(2,-3)​

Answer 1

Answer:

The coordinates of centroid (x,y) of a triangle are

x=

3

x

1

+x

2

+x

3

y=

3

y

1

+y

2

+y

3

In the given problem,

(x

1

,y

1

)=(3,−5)

(x

2

,y

2

)=(−7,4)

(x

3

,y

3

)=?

(x,y)=(2,−1)

So,

2=

3

3−7+x

3

6=−4+x

3

x

3

=6+4=10

And

−1=

3

−5+4+y

3

−3=−1+y

3

y

3

=−3+1=−2