Given the segment AB, extend AB to C so that BC = 13ab, D is the midpoint of AC, DC = 2cm, then the length of segment AB is () A. 3B. 6cmC. 4cmD. 3cm

Given the segment AB, extend AB to C so that BC = 13ab, D is the midpoint of AC, DC = 2cm, then the length of segment AB is () A. 3B. 6cmC. 4cmD. 3cm

∵ D is the midpoint of AC, DC = 2cm, ∵ AC = 2dc = 2 × 2 = 4cm, AC = AB + BC = AB + 13ab = 43ab, ∵ AB = 3cm