sara0284
sara0284 sara0284
  • 20-01-2021
  • Mathematics
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Find the length of BC, in simplest radical form.

Find the length of BC in simplest radical form class=

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sqdancefan
sqdancefan sqdancefan
  • 20-01-2021

9514 1404 393

Answer:

  BC = 16 +12√3

Step-by-step 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

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