A triangle has corners at #(4 ,6 )#, #(3 ,9 )#, and #(2 ,5 )#. How far is the triangle's centroid from the origin?
The distance of the centroid from the origin is
Let the coordinates of the triangle be
Then the centroid is given by
So the coordinates of the centroid are
Let coordinates of centroid be
The distance from the origin is
So the distance is