chenisong123
chenisong123 chenisong123
  • 25-06-2018
  • Mathematics
contestada

PLEASE HELP!!
In triangle ABC, B= 120 degrees, a=10, c=18, find C

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samkassab12 samkassab12
  • 25-06-2018
add all of them then subtract from 180
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jdoe0001 jdoe0001
  • 25-06-2018
check the picture below.  Notice that we can always solve for the cosine and simply use the sides alone to get an angle.

[tex]\bf cos^{-1}\left(\cfrac{10^2+(\sqrt{604})^2-18^2}{2(10)(\sqrt{604})} \right)=\measuredangle C \\\\\\ cos^{-1}\left(\cfrac{100+604-324}{20\sqrt{604}} \right)=\measuredangle C \\\\\\ cos^{-1}(0.77309903583)\approx \measuredangle C\implies 39.366998916677^o\approx \measuredangle C[/tex]
Ver imagen jdoe0001
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