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Geometry Help!

Please only answer if you know the answer. Look at the image below to answer the question.

Be sure to show all of your work and explain your thinking.

I posted 3 of these, so if you understand it, please go and check them out.

If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!

Geometry Help! Please only answer if you know the answer. Look at the image below-example-1
User Default
by
4.0k points

1 Answer

5 votes

Answer:

  • x = 8.8

Explanation:

To solve this you need the Law of sines

  • sin A / a = sin B / b = sin C / c

a, b, c are the sides opposite to angles A, B and C respectively

Applied to the given triangle we have one side given, the opposite angle to be found.

  • sin 28 / x = sin (180 - 28 - 126) / 8.2
  • sin 28 / x = sin 26 / 8.2
  • x = 8.2 sin 28 / sin 26
  • x = 8.8 (rounded)

User Erick Oziel
by
3.6k points