jtjjslater7622 jtjjslater7622
  • 20-12-2017
  • Mathematics
contestada

In triangle $ghi$, we have $gh = hi = 25$ and $gi = 30$. what is $\sin\angle ghi$? (note: this is not the exact same as the previous problem!)

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obenam obenam
  • 28-12-2017
We have the following rule:
[tex]cos (ghi)= \frac{gh^2+ih^2-gi^2}{2(gh)(ih)}\\= \frac{25^2+25^2-30^2}{2\times25\times25}=0.28 [/tex]
In order to find the sine, simply do like this:
[tex]sin(ghi)=\sqrt{1-0.28^2}=0.96[/tex]
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