jakrey97
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So I will be holding a college test soon and I came across something Im not sure what to do with.
Basically Ive got some random triangle for which I know sin α/sin β = √2/2.
And the question is which of the statements are proper for this triangle.
a=2b, a=√2.b, a=1/2b or a=(√2/2)b
I have no idea where to start with this. I don`t need the answer I prefer the explanation. I tried with law of sines but can`t do a thing. Thanks in advance
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ThatsAGoodOne349
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Does multiplying by sin B not work for you?

That will lead you one way or another ;P
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old_engineer
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(Original post by jakrey97)
So I will be holding a college test soon and I came across something Im not sure what to do with.
Basically Ive got some random triangle for which I know sin α/sin β = √2/2.
And the question is which of the statements are proper for this triangle.
a=2b, a=√2.b, a=1/2b or a=(√2/2)b
I have no idea where to start with this. I don`t need the answer I prefer the explanation. I tried with law of sines but can`t do a thing. Thanks in advance
To start with, a is assumed to be the length of the side opposite angle α and b is assumed to be the length of the side opposite angle β. The sine rule then tells us that:

a / sin α = b / sin β

You can rearrange that to

sin α / sin β = a / b

You should now be able to relate the rearranged sine rule expression to the information given in the question.
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ThatsAGoodOne349
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(Original post by old_engineer)
To start with, a is assumed to be the length of the side opposite angle α and b is assumed to be the length of the side opposite angle β. The sine rule then tells us that:

a / sin α = b / sin β

You can rearrange that to

sin α / sin β = a / b

You should now be able to relate the rearranged sine rule expression to the information given in the question.
\frac{sin \alpha}{sin \beta} not able to be sine rule'd .... unless i'm missing the buck here
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