Hello, mohammad.ashtari!

I have a triangle in 3-space.

I know the coordinates for two of its vertices $\displaystyle A(1,2,3)$ and $\displaystyle B(-1,-2,-3).$

I also know all the angles of the triangle and all the $\displaystyle AB, AC$ and $\displaystyle BC$ lengths.

How can I find the $\displaystyle x, y$ and $\displaystyle z$ coordinates for the last vertex $\displaystyle C$? There is an infinite number of solutions . . .

With the given information, you can locate *a* vertex $\displaystyle C.$ Code:

C
*
* *
* *
* *
* *
* *
--*--*--*--*--*--*--*--
A B

But the triangle can be revolved about the side $\displaystyle AB.$