Question

A triangle has sides A, B, and C. The angle between sides A and B is `(pi)/2` and the angle between sides B and C is `pi/12`. If side B has a length of 13, what is the area of the triangle?

Answer 1

`A=169/2*(2-sqrt(3))`

Explanation:

We have
`tan(pi/12)=BC/13=a/13`
so
`a=13tan(pi/12)`
Note that

`tan(pi/12)=2-sqrt(3)`