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(AE - BE) : AE = 1 : 4
(AE - 9) : AE = 1 : 4
4 (AE - 9) = 1 . AE
4.AE - 36 = AE
4.AE - AE = 36
3.AE = 36
AE = 36/3
AE = 12 cm