As shown in the figure, C and D are two points on the line ab. given that AC: CD: DB = 1:2:3, m and N are the midpoint of AC and DB respectively, and ab = 18cm, the length of the line Mn is calculated

As shown in the figure, C and D are two points on the line ab. given that AC: CD: DB = 1:2:3, m and N are the midpoint of AC and DB respectively, and ab = 18cm, the length of the line Mn is calculated

Let the lengths of AC, CD and DB be xcm, 2xcm and 3xcm respectively, then ∵ AC + CD + DB = AB, ∵ x + 2x + 3x = 18, the solution is: x = 3cm, ∵ AC = 3cm, CD = 6cm, DB = 9cm, ∵ m and N are the midpoint of AC and DB,