Question

A triangle has corners at `(4 ,1 )`, `(8 ,3 )`, and `(5 ,2 )`. How far is the triangle's centroid from the origin?

Answer 1

`~~6.00`

Explanation:

The position of the centroid is

`((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3) = ((4+8+5)/3,(1+3+2)/3)= (17/3 , 2)`

The distance of this point from the origin is

`sqrt((17/3)^2+2^2) = sqrt{289/9+4} =sqrt{325/9}~~sqrt36.11~~6.00`