Question

A triangle has sides A, B, and C. The angle between sides A and B is `(5pi)/6`. If side C has a length of `7` and the angle between sides B and C is `pi/12`, what are the lengths of sides A and B?

Answer 1

Length of sides `color(brown)(a = b = 3.6234`

Explanation:

`hat A = pi/13, hat C = (5pi)/6, c = 7`

`a = (c sin A) / a = (7 * sin (pi/12)) / sin ((5pi)/6) = 3.6234`

`hat B = pi - pi/12 - (5pi)/6 = pi /12`

It’s an isosceles triangle with sides a & b equal as corresponding angles are equal.