Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/4`. If side C has a length of `3` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

Length of side `color(brown)(c = 1.1`

Explanation:

Given : `hat A = pi/12, hat C = pi/4, c = 3, a = ?`

As per Law of Sines,

`a / sin A = c / sin C`

`a = (3 * sin (pi/12)) / sin (pi/4)`

Length of side `color(brown)(c = 1.1`