A triangle has sides A, B, and C. The angle between sides A and B is #pi/8#. If side C has a length of #7 # and the angle between sides B and C is #pi/12#, what is the length of side A?

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Answer 1 · 2017-07-04T06:05:47

The answer is #A=4.7#

We apply the sine rule to the triangle #ABC#

#A/sin hatA=C/sin hatC#

The side #C=7#

The angle #hat C=1/8pi#

The angle #hat A=1/12pi#

Therefore,

#A=C*sin hatA/sin hat C=7* sin(1/12pi)/sin(1/8pi)#

#=4.7#