This is LaTeX code:
[latex]
\\|VA|=b=\sqrt{|AS|^2+|SV|^2}=\sqrt{(5\sqrt2)^2+5^2}=\sqrt{5^2\cdot 2 + 5^2}=\sqrt{5^2(2+1)}=\boxed{5\sqrt3}\ cm
[/latex]