The coordinates of point C are (Cx, Cy) is (15,16).
As we can see, point C lies half the distance of AB
So we can use the midpoint formula to get the coordinates of C
we have this as:
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,2)
(x2,y2) = (27,30)
Thus, we have
(x,y) = (3 + 27)/2, (30 + 2)/2
(x,y) = 30/2 , 32/2
(x,y) = (15,16)