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Geometry 21 Online
OpenStudy (anonymous):

HELP PLEASE Given the following triangle, find c.

OpenStudy (anonymous):

OpenStudy (anonymous):

\[c=\sqrt{15^2+9^2}\] by pythagoras

OpenStudy (anonymous):

306? @satellite73

OpenStudy (anonymous):

oh no

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

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):

\[\tan(60)=\sqrt3\\ \cos(45)=\frac{\sqrt2}{2}\]

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

OpenStudy (anonymous):

no not \(\frac{1}{\sqrt6}\) just \(\sqrt6\)

OpenStudy (anonymous):

yw

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