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Choose a method (in photo) to apply to problem and solve for all variables in simplest radical form

Choose a method (in photo) to apply to problem and solve for all variables in simplest-example-1

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The triangle in the picture is a right triangle and we can relate the sides length with the Pyhtagorean theorem:


\begin{gathered} x^2+13^2=16^2 \\ x^2+169=256 \\ x^2=256-169 \\ x^2=87 \\ x=\sqrt[]{87} \end{gathered}

Answer: x = √87

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