Extend line AB to C, BC = 12ab, Ba to D, ad = 13ac. If CD = 16cm, find the length of ab

Extend line AB to C, BC = 12ab, Ba to D, ad = 13ac. If CD = 16cm, find the length of ab

As shown in the figure, ∵ DC = 16cm, ad = 13ac ∵ DC = AD + AC = 13ac + AC = 43ac = 16cm ∵ AC = 12cm ∵ BC = 12ab ∵ AC = AB + BC = AB + 12ab = 32ab = 12cm ∵ AB = 8cm