Question

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

Answer 1

Distance of the centroid from origin is `6.15(2dp)` unit

Explanation:

Centroid of triangle is at `((x_1+x_2+x_3)/3,(y_1+y_2+y_3)/3) or ((6+7+1)/3, (6+4+2)/3) or (4.67,4)`Distance of the centroid from origin is`d=sqrt((4.67-0)^2+(4-0)^2)=6.15(2dp)`unit [Ans]