Question

A triangle has corners at `(9 ,4 )`, `(2 ,6 )`, and `(5 ,8 )`. How far is the triangle's centroid from the origin?

Answer 1

Distance of centroid from the origin is `8.03` units

Explanation:

The co ordinates of centroid of triangle is `x=(x_1+x_2+x_3)/3=(9+2+5)/3=16/3 ; y=(y_1+y_2+y_3)/3=(4+6+8)/3=18/3=6`i.e`(16/3,6)`.Distance of centroid from the origin is `sqrt((16/3-0)^2+(6-0)^2)=8.03` units [Ans]