Question

A triangle has corners at `(9 ,5 )`, `(2 ,7 )`, and `(3 ,2 )`. How far is the triangle's centroid from the origin?

Answer 1

The distance of centroid from the origin is `6.6` unit.

Explanation:

The co-ordinate `(x,y)` of centroid is `x=(x_1+x_2+x_3)/3 and y=(y_1+y_2+y_3)/3 or x= (9+2+3)/3=14/3 ; y=(5+7+2)/3 =14/3`
The distance of centroid `(14/3,14/3)` from the origin `(0,0)` is `d=sqrt((14/3-0)^2 +(14/3-0)^2)=sqrt (196/9+196/9) =6.6 unit`[Ans]