tra Proplem & (Ceva's theorem). Let ABC, A' (BC), B' (AC) and C" E (AB). Then the lines AA', BB' and CC' are concurrent if and only if |BA| |CB'| |AC"| |A'C B'A |C'B| - 1. After establishing the above equivalence, conclude that the medians of every triangle are concurrent. B Ceva's Theorem A D E C Proof AF BD CE FB DC EA