SOLUTION: What is the proof for Theorem 7.9 30° -60° -90° Triangle: In a 30° -60° -90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as l
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Question 407148: What is the proof for Theorem 7.9 30° -60° -90° Triangle: In a 30° -60° -90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use the Law of Sines:
Substitute , , to get
. Here, we get c = 2a, and as desired.
Interesting fact: The law of sines can be extended and it actually says
where , , are the angles opposite a,b,c and R is the circumradius.
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