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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 necessary,write in simplest radical form.99-example-1

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SOLUTION


Let\text{ the third side \lparen hypotenuse\rparen be x;}

Applying Pythagoras theorem;


\begin{gathered} x^2=9^2+9^2 \\ x^2=81+81 \\ x^2=162 \\ x=√(162)=√(81*2)=9√(2) \\ x=9√(2) \end{gathered}

The length of the third side is;


9√(2)

Find the length of the third side. If necessary,write in simplest radical form.99-example-1
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