The design of a retractable aircraft landing gear support can be represented by a planar four-bar linkage A*AB*B as shown in Figure P1(a). Link A*B* is the fuselage, link A*A is the input link to lower/retract the landing gear, and link B*B is the main strut. At the down position (position 1), link B*B is set to be vertical and joined to link AB. Also, link AB is collinearly joined to link A*A to support the aircraft. At the retracting position (position 2), both link A*A and link B*B are in a horizontal position, as shown in Figure P1(b). Based on the geometric information provided in the figure, determine the lengths of link A*A and link AB. (Hint: the horizontal distance between the two fixed joints A* and B* can be calculated)