Respuesta :

Given the figure of a right-angle triangle

As shown, the hypotenuse = 15 yd

And one of the legs = 13 yd

We will find the side (x) using the Pythagorean theorem as follows:

[tex]x^2+13^2=15^2[/tex]

Solve the equation to find (x):

[tex]\begin{gathered} x^2=15^2-13^2 \\ x^2=56 \\ x=\sqrt{56}=\sqrt{4*14}=\sqrt{4}*\sqrt{14} \\ x=2\sqrt{14} \end{gathered}[/tex]

So, the answer will be 2√14