(a) In the figure below, consider C = (1,0), A=(0,1). The line MNP intersects the triangle and determines segments side. Find AM, MC in terms of the coorddinates of P = (p,0) and N = (0, n). (k) Prove Menelaus' Theorem: L L L Given a triangle AABC and MNP a line so that M is on AC, N is on AB, P on BC, we have Hint: Use part (a). What (kind of) transformation do we need to apply to obtain the general case in (b)