Question

A triangle has corners at `(9 ,3 )`, `(4 ,4 )`, and `(3 ,7 )`. How far is the triangle's centroid from the origin?

Answer 1

Distance of centroid from origin is `(2sqrt113)/3`

Explanation:

The centroid is located at `barx = (sumx)/3,bary=(sumy)/3`

And the distance from the origin is `sqrt(barx^2+bary^2)`

So `barx=(9+4+3)/3=16/3`

And `bary=(3+4+7)/3=14/3`

The distance is `sqrt((16/3)^2+(14/3)^2)=sqrt(256+196)/3=(2sqrt113)/3`