Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid x, y of D are given below, where A is the area of D. x = 1 2A C x2 dy y = − 1 2A C y2 dx Use the formulas to find the centroid of the triangle with vertices (0, 0), (a, 0), and (a, b), where a > 0 and b > 0. (x, y)