I have a problem where I want to calculate the position of a point given the distances to three other points. I have only found answers on this problem for 2D but nothing for 3D. I tried solving it using an equation system with three equations. Where every equation is the length of the relative vector between the point I am looking for and another point. Solving this by hand is pretty much impossible. I also tried to you use software to solve the equation system but could not get to a solution. Using this approach I would get two solutions I think. This would be okay for me.
I am sure this problem has already been solved but I could not find any answers online. I would appreciate any answers. This calculation should be done using code. So any graphical approach is not an option.