Question

A triangle has corners at `(5 ,6 )`, `(4 ,7 )`, and `(8 ,9 )`. How far is the triangle's centroid from the origin?

Answer 1

The distance of the centroid from origin is `9.27(2dp) unit`[

Explanation:

The co-ordinates of centroid is `((x_1+x_2_x3)/3 ,(y_1+y_2_y3)/3) or ((5+4+8)/3, (6+7+9)/3) or (17/3,22/3)`. The distance of the centroid from origin`(0.0)` is `d= sqrt((17/3-0)^2+(22/3-0)^2) = sqrt((17/3)^2+(22/3)^2)=9.27(2dp) unit`[Ans]