Respuesta :

SOLUTION

[tex]Let\text{ the third side \lparen hypotenuse\rparen be x;}[/tex]

Applying Pythagoras theorem;

[tex]\begin{gathered} x^2=9^2+9^2 \\ x^2=81+81 \\ x^2=162 \\ x=\sqrt{162}=\sqrt{81\times2}=9\sqrt{2} \\ x=9\sqrt{2} \end{gathered}[/tex]

The length of the third side is;

[tex]9\sqrt{2}[/tex]

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