A triangle has sides A, B, and C. Sides A and B are of lengths 6 and 5, respectively, and the angle between A and B is pi/6. What is the length of side C?

1 Answer
bp
Mar 20, 2016

Side c= 3 approx

Explanation:

Sides are given to be a=6, b=5 The angle between the two would be C. It is required to find side c. This can be done using cosine formula
cos C= (a^2 +b^2 -c^2)/(2ab). Plugging in the given values,

sqrt3/2= (36+25-c^2)/60

30sqrt3=61-c^2

c^2= 61-30sqrt3= 61-51.96= 9 (approx)

c= 3

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