Suppose a flat piece of plastic of uniform density rho is in the shape of a right triangle. The legs of the triangle are given as a and b . Where is the center of mass of this triangle? Using the coordinate system given, enter the coordinates of the center of mass in terms of a and b . Two perpendicular axes originate from the same point on the bottom left. An axis labeled X goes horizontally rightwards and an axis labeled Y goes vertically upwards. A point on the far right of the X axis is labeled A and a point at the top of the Y axis is labeled B. A shaded region forms a right triangle where the two axes are the legs and the hypotenuse is from point A to point B. The x ‑coordinate x CM of the center of mass is x CM = The y ‑coordinate y CM of the center of mass is y CM =