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If i have a triangle in which the only known side is the hypotenuse and i know all of the angle values, how do you get the remaining sides?

 Dec 13, 2016

Best Answer 

 #3
avatar+1491 
+4

Great explanation asinus. Trig isn't my cup of tea so l couldn't have done any better myself. :)

 Dec 13, 2016
 #1
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Use any of the three trig functions: sine, cosine or tangent.

 Dec 13, 2016
 #2
avatar+14985 
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If i have a triangle in which the only known side is the hypotenuse "c" and i know all of the angle values "\(\alpha,\beta,\gamma\)", how do you get the remaining sides "a and b"?

 

\(c:sin\gamma= a:sin\alpha=b:sin\beta\)

 

\(\large a=\frac{c\times sin\ \alpha}{sin\ \gamma}\)

 

\(\large b=\frac{c\times sin\ \beta}{sin\ \gamma}\)

 

laugh  !

 Dec 13, 2016
edited by asinus  Dec 13, 2016
 #3
avatar+1491 
+4
Best Answer

Great explanation asinus. Trig isn't my cup of tea so l couldn't have done any better myself. :)

HighSchoolCalculus  Dec 13, 2016

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