anonymous
  • anonymous
What are the possible remaining angle measures in triangle ABC with A=40, AC=60, and BC=45? a.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
We can use the law of sines for this one. We have a side length and two angles. If we get back a sensible answer i.e. >0 and real valued then we should be good to go. The law of sines is \[\frac{\sin(a)}{\alpha}=\frac{\sin(b)}{\beta}=\frac{\sin(c)}{\gamma} \] |dw:1446868306191:dw|
anonymous
  • anonymous
So what would it be?
anonymous
  • anonymous
Note: my law of sines is backwards. It should be \[\frac{\sin(\alpha)}{a}\] and so on. Exchange all the letters and greek letters and you've got the correction

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anonymous
  • anonymous
Try the calculation and let me know what you come up with
anonymous
  • anonymous
I got C.
anonymous
  • anonymous
?
anonymous
  • anonymous
How might you go about checking your answer?
anonymous
  • anonymous
so its not right? i thought i did it right
anonymous
  • anonymous
I'm not telling you it is wrong. I am asking you might check your answer to make sure you are correct?
anonymous
  • anonymous
We would check it by determining all the angles of the triangle. If they sum to 180, then we are probably good. We can also check to see that this is correct in the law of sines or cosines.

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