To begin you have to find the midpoint of the side with (2,4) and (-4,2) as vertexes.
[ 2 + -4 ] / 2, [ 2 + 4 ] / 2 ) = (-1, 3)
Then you have to find the point 2/3 of the distance from (0,-2) to (-1,3) =
(0 + (-1 - 0) (2/3) , -2 + ( 3 - -2)(2/3) )
( 0 - 2/3, -2 + (5)(2/3) )
(-2/3, -2 +10/3 )
The coordinates of the centriod of a triangle are (-2/3 , 4/3 )
