A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/6#. If side C has a length of #36 # and the angle between sides B and C is #( pi)/2#, what are the lengths of sides A and B?

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Answer 1 · 2018-05-15T06:54:40

#a=72#

#b=63.35#

#a/[sin[pi/2]]=36/[sin[pi/6]#

#a=sin[pi/2] xx 36/[sin[pi/6]#

a=72

#pi/6+pi/2=(4pi)/6#

so angle B = #pi/3#

#b/[sin[pi/3]]=36/[sin[pi/6]#

#b=sin[pi/3] xx 36/[sin[pi/6]#

#b=36sqrt3#

#b=62.35382907#