First and foremost, sorry if this was a terribly worded question. I'm pretty new to this and haven't quite got the hang of asking specific questions.
In the diagram below, I'd like to find out the length of $AX$ when $AB=6, AC=5,$ and $BC=9$.
At first, I tried to draw a new triangle $AYX$ to solve the problem, but it didn't really help at all.I can't think of any other way of solving the problem, so I'd really appreciate it if someone could help me out.
PS: Sorry for the super-low quality image. I drew it in MS Paint. If anyone here knows a better way to draw math diagrams, I'd love to know.