As shown in the figure, the line AB = 10cm, the point C is any point on AB, the point m is the midpoint of AC, and the point n is the midpoint of CB

As shown in the figure, the line AB = 10cm, the point C is any point on AB, the point m is the midpoint of AC, and the point n is the midpoint of CB

mn = mc+cn = (1/2)ac + (1/2)cb = (1/2)(ac+cb) = (1/2)ab = 5cm .