Leta >0 andh >0. Consider the triangular regionRwhose vertices are (0,0),(a,0), and (0,h).(a) Find a formula for the line that represents the hypotenuse of the triangle.(b) Show that the center of gravity ofRis (a/3,h/3). (The center of gravity ofRturns out to beprecisely the centroid of the triangle, which is by definition the intersection of the 3 medians ofthe triangle, that is, the lines from the vertices to the midpoints of the opposite sides.)