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∡BAD = 30° => (T30) => AB = 2BD = 18 cm
AD = √AB²-BD² = √324-81 = √243 = 9√2 cm
∡ACB = 30° => tg30 = AD/DC =>
=> DC= AD/tg30 = 3·9√3/√3 = 27 cm
BC = BD + DC = 9 + 27 = 36 cm
AC = √BC²-AB² = √1296-324 = √972 = 18√3 cm