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

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1336450108160:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0That's a special triangle. In the 306090 triangle, the proportion of the sides are \(\ \sqrt{3}:1:2\), respectively.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How would I solve for the sides though?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So in this case, that means: dw:1336450392069:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0That means the side lengths are ....?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Use the Law of Sines http://en.wikipedia.org/wiki/Law_of_sines

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ummm... 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
 4 years ago
Best ResponseYou've already chosen the best response.0I thought that was 7*the sqrt of 3 lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@robtobey I was going to suggest that at first; however, I think this method is equally as effective.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@ThaJokersRiddles Does this make sense to you now?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The problem statement does not infer a right triangle.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@robtobey, @ThaJokersRiddles drew the problem that indicates a right angle.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ok. I stand corrected.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0However, the law of sines would be effective had this been a nonright triangle.
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