Question

A triangle has sides A, B, and C. Sides A and B are of lengths `5` and `2`, respectively, and the angle between A and B is `(5pi)/12`. What is the length of side C?

Answer 1

Since the given information provided is the case Side-Angle-Side, you can apply the Law of Cosines to solve for the third side.

Explanation:

`c^2=5^2+2^2-2*5*2*cos((5*pi)/12)`
`c = sqrt(5^2+2^2-2*5*2*cos((5*pi)/12)`
`c = 4.88` units long.