A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4#. If side C has a length of #2 # and the angle between sides B and C is #pi/12#, what is the length of side A?

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Answer 1 · 2016-02-21T12:09:25

side #a=0.732051" "#units

From the given it is stated that :
Angle #C=(3pi)/4#
Angle #A=pi/12#
side #c=2#

Using Sine Law

#a/sin A=c/sin C#

#a=c*sin A/sin C#

#a=2*sin (pi/12)/sin ((3pi)/4)#

side #a=0.732051" "#units

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