Question

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?

Answer 1

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