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Find the length of BC, in simplest radical form.

Find the length of BC, in simplest radical form.-example-1

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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

Find the length of BC, in simplest radical form.-example-1
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