Respuesta :

Given the figure of a right-angle triangle

As shown, the given triangle is a 45-45-90 triangle

The relation between the hypotenuse (h) and the length of one leg (l) is as follows:

[tex]h=(\sqrt{2})l[/tex]

As shown, h = 24, and l = x

[tex]\begin{gathered} 24=\sqrt{2}*x \\ \\ x=\frac{24}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{24\sqrt{2}}{2}=12\sqrt{2} \end{gathered}[/tex]

So, the answer will be:

[tex]x=12\sqrt{2}[/tex]