As shown in the figure, the common part of AB and CD is BD, and BD: ab: CD = 1:3:5, EF is the midpoint of AD and CB respectively, EF = 12cm, find the length of AB and CD

A——E—D—B——F———C
∵BD:AB:CD=1:3:5
∴AB＝3BD,CD＝5BD
∵ e is the midpoint of ab
∴BE＝AB/2＝3BD/2＝1.5BD
∴DE＝BE-BD＝1.5BD-BD＝0.5BD
∵ f is the midpoint of CD
∴DF＝CD/2＝5BD/2＝2.5BD
∴EF＝DE+DF＝0.5BD+2.5BD＝3BD
∴3BD＝12
∴BD＝4
∴AB＝3BD＝12（cm）,CD＝5BD＝20（cm）
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As shown in the figure, the common part of AB and CD is BD, and BD: ab: CD = 1:3:5, EF is the midpoint of AD and CB respectively, EF = 12cm, find the length of AB and CD

As shown in the figure, the common part of AB and CD is BD, and BD: ab: CD = 1:3:5, EF is the midpoint of AD and CB respectively, EF = 12cm, find the length of AB and CD

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