Respuesta :

The Pythagorean Theorem states:

[tex]x^2+y^2=h^2[/tex]

Where x and y are the legs of the right triangle and h is the hypotenuse.

In the figure, we can see y=6 and h=7.

Replace these values and solve for x:

[tex]\begin{gathered} x^2=h^2-y^2 \\ x^2=7^2-6^2 \\ x^2=49-36=13 \\ x=\sqrt[]{13}=3.61 \end{gathered}[/tex]

Therefore, the side length x is 3.61