As shown in the figure, points a, B and C are successively on line L, point m is the midpoint of line AC, and point n is the midpoint of line BC. If AB = 12, the length of Mn is () A. 6B. 4C. 5D. 2

As shown in the figure, points a, B and C are successively on line L, point m is the midpoint of line AC, and point n is the midpoint of line BC. If AB = 12, the length of Mn is () A. 6B. 4C. 5D. 2

∵ point m is the midpoint of line AC, point n is the midpoint of line BC, ∵ Mn = MC − NC = 12ac − 12bc = 12 (AC − BC) = 12ab, ∵ AB = 12, ∵ Mn = 6