Respuesta :

x is the hypotenuse of the right triangle. To find it, use the formula for hypotenuse:

[tex]h^2=a^2+b^2[/tex]

Where:

h = hypotenuse.

a and b = sides.

In this exercise,

h = x.

a = 8.

b = 3.

So, substituting the values:

[tex]x^2=8^2+13^{2^{}}[/tex]

And solving the operations:

[tex]\begin{gathered} x^2=64+169 \\ x^2=233 \end{gathered}[/tex]

And taking the root from both sides.

[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{233} \\ x=15.3 \end{gathered}[/tex]