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Mathematics: How to calculate the geometry problems in the next middle school (step by step)?
According to the meaning, △ADE? △ CDE, therefore, AD=CD.

AB= 1/2CD, therefore, AD=CD=2AB.

In the right angle △ABD, CD=2AB, so BD=√3AB.

BC=BD+CD=√3AB+2AB=8, AB=8(2-√3).

CD=2AB=2×8(2-√3)= 16(2-√3)

Answer: The length of the CD is 16(2-√3).