As shown in the figure, C is the midpoint of line AB and D is the midpoint of line AC. given that the sum of the lengths of all line segments in the figure is 23, the length of line AC is______ .

As shown in the figure, C is the midpoint of line AB and D is the midpoint of line AC. given that the sum of the lengths of all line segments in the figure is 23, the length of line AC is______ .


Let the length of line AC be x, then ad = X2, ab = 2x, DC = X2, DB = 32x, CB = x, | x2 + X + 2x + x2 + 32x + x = 23, the solution is: x = 3713. That is, the length of AC is 3713. So the answer is: 3713