Respuesta :

In order to find the value of x, use the Pythagorean theorem, as follow:

[tex]13^2=11^2+x^2[/tex]

Next, solve for x and simplify:

[tex]\begin{gathered} x^2=13^2-11^2 \\ x=\sqrt[]{13^2-11^2} \\ x\approx6.9 \end{gathered}[/tex]

Hence, the value of x is approximately 6.9