So I have a question in math. I'm not too sure if this is possible to say or not (or if it makes any sense). In the picture, I have line segment EA that can be broken down to EF and FA.
I figured out the ratio for $EF/FA$ and it is $12/10$. My question is can I just say that $EF=12$ and $FA=10$, just like that?
Like, in my mind, I am thinking that you can do that because to find line segment $EA$, you need $EF/FA$ and it corresponds to $12/10$ and you could just take the top parts equaling each other ($EF=12$) and same as the bottom ($FA=10$)?

What you can say is that there is a length $v$ such that $EF = 12v$ and $FA = 10v$.