Respuesta :

Given a right angle triangle:

The hypotenuse of the triangle = 17

The legs of the triangle are the sides 14 and x

We will find x using the Pythagorean theorem as follows:

[tex]x^2+14^2=17^2[/tex]

Solve for x:

[tex]\begin{gathered} x^2=17^2-14^2=93 \\ \\ x=\sqrt[]{93} \end{gathered}[/tex]

So, the answer is the first option

[tex]x=\sqrt[]{93}[/tex]