As shown in the figure, in △ ABC, the vertical bisector of BC intersects AC at point D and BC at point e respectively. If the perimeter of △ ABC is 20 cm and the perimeter of △ abd is 12 cm, then the length of be is______ ．

The vertical bisector De of ∵ BC, ∵ BD = DC, ∵ ABC is 20 cm in circumference, ∵ abd is 12 cm in circumference, ∵ AB + AC + BC = 20 cm, AB + BD + ad = AB + CD + ad = AB + AC = 12 cm, ∵ BC = 8 cm, the vertical bisector De of ? BC, ∵ be = 12 BC = 4 cm, so the answer is: 4 cm

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