As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ ．

As shown in the figure, DF ⊥ BC is made in F through D, and ∵ BD is the bisector of ⊥ ABC, de ⊥ AB is at point E, ≁ de = DF, and s △ ABC = s △ abd + s △ CBD = 12de · AB + 12df · BC, ≁ 144 = 12de × 36 + 12df × 24, ≁ 144 = 18de + 12df, de = DF, ≁ de = 4.8cm

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