Question

A triangle has sides A, B, and C. Sides A and B are of lengths `2` and `4`, respectively, and the angle between A and B is `(7pi)/12`. What is the length of side C?

Answer 1

Length of third side `color(brown)(c = 4.91` units

Explanation:

#a = 2, b = 4, hat C = (7pi)/12, c = ?

Applying the Law of Cosines,

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

`c = sqrt (2^2 + 4^2 - (2 * 2 * 4* cos ((7pi)/12))`

Length of third side `color(brown)(c = 4.91` units