So I have a system of three quadratic equations. Let's say c1, c2, c3 are the cosines of my known angles, and x,y,z the unknown length of segments.
It looks like this:
x^2+y^2+2*x*y*c1=1
z^2+y^2+2*z*y*c2=1
x^2+z^2+2*x*z*c3=2

Is that right? If so, the problem is now how to solve systems of quadratic equations. Which is the best method? I tried with substitution but I get square roots into square roots so I don't think it's the right way. The other methods I know are valid only for linear systems, not quadratic... any clue?

Thanks again!