NagisaP76761 NagisaP76761
  • 28-10-2022
  • Mathematics
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Find the length of the third side. If necessary,write in simplest radical form.99

Find the length of the third side If necessarywrite in simplest radical form99 class=

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ChristynW222048 ChristynW222048
  • 28-10-2022

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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