Question

if the centroid of a triangle given points (1,1) , (2,2) and (x,y) is at origin​

Answer 1

Answer:

Let (x

1

,y

1

)≡(1,1);(x

2

,y

2

)≡(0,−7);(x

3

,y

3

)≡(−4,0)

Centroid =(

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)

=(

3

1+0−4

,

3

1−7+0

)

=(

3

−3

,

3

−6

)

Centroid =(−1,−2)

The distance between centroid (−1,−2) and origin (0,0) is

(−1−0)

2

+(−2−0)

2

=

1+2

=

3