anonymous
  • anonymous
How do you find the sides of a triangle if they only give you 1 side but all 3 degrees of the angles.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1336450108160:dw|
anonymous
  • anonymous
That's a special triangle. In the 30-60-90 triangle, the proportion of the sides are \(\ \sqrt{3}:1:2\), respectively.
anonymous
  • anonymous
How would I solve for the sides though?

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anonymous
  • anonymous
So in this case, that means: |dw:1336450392069:dw|
anonymous
  • anonymous
That means the side lengths are ....?
anonymous
  • anonymous
7, 14, and 12?
anonymous
  • anonymous
Use the Law of Sines http://en.wikipedia.org/wiki/Law_of_sines
anonymous
  • anonymous
Ummm... Well, you have 7, and 14, so substitute 7 as x in the shortest side, and get 7sqrt3. So the answer is \(\ \huge 7, 14, 7\sqrt{3} \).
anonymous
  • anonymous
I thought that was 7*the sqrt of 3 lol
anonymous
  • anonymous
@robtobey I was going to suggest that at first; however, I think this method is equally as effective.
anonymous
  • anonymous
@ThaJokersRiddles Does this make sense to you now?
anonymous
  • anonymous
Yea
anonymous
  • anonymous
The problem statement does not infer a right triangle.
anonymous
  • anonymous
Great!
anonymous
  • anonymous
@robtobey, @ThaJokersRiddles drew the problem that indicates a right angle.
anonymous
  • anonymous
Ok. I stand corrected.
anonymous
  • anonymous
However, the law of sines would be effective had this been a non-right triangle.

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