Question

A triangle has sides A, B, and C. The angle between sides A and B is `(pi)/6`. If side C has a length of `6` and the angle between sides B and C is `( pi)/2`, what are the lengths of sides A and B?

Answer 1

`b=6sqrt(3)`; `a=12`

Explanation:

Since the triangle is right-angled, you can apply:

`b=c*cot(pi/6)`

`b=6sqrt(3)`

and

`a=c/sin(pi/6)`

`a=6/(1/2)=12`