Question

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

Answer 1

`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)`