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ThaJokersRiddles

How do you find the sides of a triangle if they only give you 1 side but all 3 degrees of the angles.

  • one year ago
  • one year ago

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  1. ThaJokersRiddles
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    |dw:1336450108160:dw|

    • one year ago
  2. Study23
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    That's a special triangle. In the 30-60-90 triangle, the proportion of the sides are \(\ \sqrt{3}:1:2\), respectively.

    • one year ago
  3. ThaJokersRiddles
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    How would I solve for the sides though?

    • one year ago
  4. Study23
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    So in this case, that means: |dw:1336450392069:dw|

    • one year ago
  5. Study23
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    That means the side lengths are ....?

    • one year ago
  6. ThaJokersRiddles
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    7, 14, and 12?

    • one year ago
  7. robtobey
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    Use the Law of Sines http://en.wikipedia.org/wiki/Law_of_sines

    • one year ago
  8. Study23
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    Ummm... Well, you have 7, and 14, so substitute 7 as x in the shortest side, and get 7sqrt3. So the answer is \(\ \huge 7, 14, 7\sqrt{3} \).

    • one year ago
  9. ThaJokersRiddles
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    I thought that was 7*the sqrt of 3 lol

    • one year ago
  10. Study23
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    @robtobey I was going to suggest that at first; however, I think this method is equally as effective.

    • one year ago
  11. Study23
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    @ThaJokersRiddles Does this make sense to you now?

    • one year ago
  12. ThaJokersRiddles
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    Yea

    • one year ago
  13. robtobey
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    The problem statement does not infer a right triangle.

    • one year ago
  14. Study23
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    Great!

    • one year ago
  15. Study23
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    @robtobey, @ThaJokersRiddles drew the problem that indicates a right angle.

    • one year ago
  16. robtobey
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    Ok. I stand corrected.

    • one year ago
  17. Study23
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    However, the law of sines would be effective had this been a non-right triangle.

    • one year ago
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