8 In AABC draw UV || BC with U E AB and V E AC. Prove that P, the intersection of BV and UC, lies on the median of AABC from vertex A. Hint: Let E the midpoint of BC and D the intersection of UV and AE. Denote UD = r, VD = s, BE = m, and CE = n. UV | BC implies the existance of two pairs of similar triangles. Prove that n -. BV and CU determine another two pairs of similar triangles. Prove that m Then, m n m = n follows