Question

A triangle has sides A, B, and C. The angle between sides A and B is `(7pi)/12`. If side C has a length of `9` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`color(brown)(a = (c * sin A) / sin C = (9 * sin (pi/12)) / sin ((7pi)/12) ~~ 2.41`

Explanation:

To find the length of `color(red)(a`

Given : `c = 9, hat C = (7pi)/12, hat A = pi/12`

Applying Law of Sines,

`color(brown)(a = (c * sin A) / sin C = (9 * sin (pi/12)) / sin ((7pi)/12) ~~ 2.41`