As shown in the figure, in △ ABC, ab = AC, ∠ a = 60 °, be ⊥ AC at e, extend BC to D, make CD = CE, connect De, if the perimeter of △ ABC is 24, be = a, then the perimeter of △ BDE is______ ．

∵ in △ ABC, ab = AC, ∠ a = 60 °, ∵ ABC is an equilateral triangle, the perimeter of ∵ ABC is 24, ∵ AB = AC = BC = 8, ∵ be ⊥ AC is equal to e, ∵ CE = 12ac = 4, ∵ EBC = 12 ∠ ABC = 30 °, ∵ CD = CE, ∵ d = CED, ∵ ACB is an external angle of △ CDE, and ∵ D + ∠ CED = ACB = 60 °

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