Equilibrium Problem: Fbd > Fbc?

[Drain Brain]

Hello! I just want to ask why the solution says that Fbd>Fbc? How did the solver decide that was case? Thanks!

 

[I like Serena]

Hello! I just want to ask why the solution says that Fbd>Fbc? How did the solver decide that was case? Thanks!

Hi Drain Brain! :)

2 lines before, we have:
$$F_{BD} = 1.4142 F_{BC} \qquad\qquad (1)$$

So $F_{BD}$ is 1.4142 times as big as $F_{BC}$, meaning $F_{BD} > F_{BC}$.