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 `12` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`color(green)("Length of side 'a' " ~~ 3.22`

Explanation:

`"Given : " c = 12, hat C = (7pi)/12, hat A = pi/12, " to find 'a'"`

Applying the Law of Sines,

`a / sin A = b / sin B = c / sin C`

`a = (c * sin A) / sin C = 1(12 * sin (pi/12)) / sin ((7pi)/12) ~~ 3.22`