As shown in the figure, the segment AB of point C is AC: BC = 5:7, and the segment AB of point D is ad: BD = 5:11. If CD = 10cm, find the length of ABD

Point C divides AB into (5 + 7 =) 12 equal parts, and each equal part is AB / 12. Point d divides AB into (5 + 11 =) 16 equal parts, and each equal part is AB / 16. Therefore, AC length is 5 / 12 of AB length, ad length is 5 / 16 of AB length, CD = ac-ad = 10, so: (5 / 12 - 5 / 16) AB = 10, ab = 96cm

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