Answer:
[tex]y=2\sqrt{2}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle. The relationship between the legs and the hypotenuse is H = L[tex]\sqrt{2}[/tex]
Plug in the given information:
[tex]4=y\sqrt{2}[/tex]
Solve for y:
[tex]4=y\sqrt{2}[/tex]
[tex]y=\frac{4}{\sqrt{2} }[/tex]
[tex]y=\frac{4\sqrt{2} }{2}[/tex]
[tex]y=2\sqrt{2}[/tex]
