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Answer:
BC = 16 +12√3
Explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3