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 #1 # and the angle between sides B and C is #( 5 pi)/12#, what are the lengths of sides A and B?

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Answer 1 · 2017-06-12T12:16:08

The lengths of the sides #a=b=1.93#

The angles are

#hatC=1/6pi#

#hatA=5/12pi#

The third angle of the triangle is

#hatB=pi-(hatA+hatC)#

#=pi-(1/6pi+5/12pi)#

#=pi-7/12pi#

#=5/12pi#

So the triangle #DeltaABC# is an isoceles triangle.

Therefore,

#a=b=0.5/cos(5/12pi)=1.93#