Traditional Culture Encyclopedia - Hotel accommodation - Suzhou ac hotel lounge
Suzhou ac hotel lounge
∵ The rectangle is folded along a straight line AC, and the point B falls on the point E,
∴∠BAC=∠EAC,AE=AB=CD,
Opposite sides of rectangular ABCD AB CD,
∴∠DCA=∠BAC,
∴∠EAC=∠DCA,
Let AE and CD intersect at f, then AF=CF,
∴AE-AF=CD-CF,
That is DF=EF,
∴DFFC=EFAF,
And ≈AFC =≈EFD,
∴△ACF∽△EDF,
∴DFFC=DEAC=35,
Let DF=3x and FC=5x, then AF=5x,
In Rt△ADF, AD=AF2? DF2=(5x)2? (3x)2=4x,
∫AB = CD = DF+FC = 3x+5x = 8x,
∴ADAB=4x8x= 12.
So the answer is: 12.
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