A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #9#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?

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Answer 1 · 2016-02-16T08:40:01

#c=4.84451# units

Given two sides and an included angle

#a=6#, #b=9#, #C=pi/6#

Law of Cosine

#c=sqrt(a^2+b^2-2*a*b*cos C)#
#c=sqrt(6^2+9^2-2*6*9*cos (pi/6))#

#c=sqrt(23.46925639128)#

#c=4.84451#

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