Geometry
21 Online
OpenStudy (anonymous):
HELP PLEASE
Given the following triangle, find c.
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OpenStudy (anonymous):
OpenStudy (anonymous):
\[c=\sqrt{15^2+9^2}\] by pythagoras
OpenStudy (anonymous):
306? @satellite73
OpenStudy (anonymous):
oh no
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OpenStudy (anonymous):
originally i had put 18 sq root (17) @ satellite73
OpenStudy (anonymous):
think you forgot to take the square root maybe
OpenStudy (anonymous):
\[3\sqrt{34}\]if you want the exact answer
OpenStudy (anonymous):
oh okay thanks. Can you help me with one more please? @satellite73
OpenStudy (anonymous):
kk
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OpenStudy (anonymous):
Evaluate tan60 divided by cos 45
OpenStudy (anonymous):
\[\frac{\tan(60)}{\cos(45)}\]?
OpenStudy (anonymous):
i got it in a decimal form but it has to be one of these
OpenStudy (anonymous):
yeah @satellite73
OpenStudy (anonymous):
\[\tan(60)=\sqrt3\\
\cos(45)=\frac{\sqrt2}{2}\]
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OpenStudy (anonymous):
divide by multiplying by the reciprocal as usual
\[\sqrt3\times \frac{2}{\sqrt2}\]
OpenStudy (anonymous):
so would the answer be 1 over sq root 6 @satellite73
OpenStudy (anonymous):
you get
\[\frac{2\sqrt 3}{\sqrt2}\]
OpenStudy (anonymous):
multiply top and bottom by \(\sqrt2\)
\[\frac{2\sqrt3}{\sqrt2}\times \frac{\sqrt2}{\sqrt2}\]\[=\frac{2\sqrt6}{2}=\sqrt6\]
OpenStudy (anonymous):
OH. okay that makes sense thank you so much!! @satellite73
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OpenStudy (anonymous):
no not \(\frac{1}{\sqrt6}\) just \(\sqrt6\)
OpenStudy (anonymous):
yw