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What is the centroid of a triangle with corners at ##(5 , 1 )##, ##(0 , 5 )##, and ##(3 , 2 )##?
##(8/3,8/3)##
The ##x##-coordinate of the centroid is simply the average of the ##x##-coordinates of the triangle's vertices. The same logic is applied to the ##y##-coordinates for the ##y##-coordinate of the centroid.
##"centroid"=((5+0+3)/3,(1+5+2)/3)=(8/3,8/3)##