Question

A triangle has corners at `(4 ,3 )`, `(2 ,6 )`, and `(7 ,1 )`. How far is the triangle's centroid from the origin?

Answer 1

`sqrt269/3~~5.47`

Explanation:

The coordinates of the centroid are the average of the `x and y` coordinates of the three vertices.

`=> x_c=1/3(4+2+7)=13/3`

`=> y_c=1/3(3+6+1)=10/3`

Coordinates of the centroid `=(13/3,10/3)`

Distance `D` between the centroid and the origin :
`D=sqrt((13/3)^2+(10/3)^2)=sqrt269/3~~5.47`