Question

A triangle has corners at `(6 ,9 )`, `(5 ,7 )`, and `(3 ,8 )`. How far is the triangle's centroid from the origin?

Answer 1

The distance of centroid from origin(0,0) is `9.26(2dp)`unit

Explanation:

The co ordinate of centroid is `(6+5+3)/3,(9+7+8)/3 or (14/3,8)`
The distance of centroid from origin(0,0) is `d=sqrt((14/3-0)^2+(8-0)^2)=sqrt(196/9+64)=9.26(2dp)`unit[Ans]