Answer:
[tex]y = \sqrt{3}[/tex]
Step-by-step explanation:
Use 45-45-90 triangle proportions y: y : y[tex]\sqrt{2}[/tex]
The hypotenuse is y[tex]\sqrt{2}[/tex] so [tex]\sqrt{6}=y\sqrt{2}[/tex]
y = [tex]\sqrt{3}[/tex]