The hypotenuse of the right triangle measures 3 units.
Here we know that both legs measure:
[tex]L =\frac{3}{\sqrt{2} }[/tex]
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
[tex]H^2 = (\frac{3}{\sqrt{2} } )^2 + (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3[/tex]
Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
https://brainly.com/question/2217700
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