Question

A triangle has sides A, B, and C. Sides A and B are of lengths `12` and `11`, respectively, and the angle between A and B is `(11pi)/12`. What is the length of side C?

Answer 1

`color(crimson)(c = 22.8 " units"`

Explanation:

`a = 12, b = 11,hat C= (11pi) / 12`

Applying the Law of Cosines,

`c = sqrt(a^2 + b^2 - 2ab cos C)`

`c = sqrt(12^2 + 11^2 - (2 * 12 * 11 * cos ((11pi)/12)`

`color(crimson)(c = 22.8 " units"`