ХThe length of the hypotenuse of a 45°-45°-90° triangleis 10. What is the length of one leg?

the two legs will have the same measure so we can use pytagoras and solve
[tex]H=\sqrt[]{2}\times l[/tex]replace the value of H
[tex]10=\sqrt[]{2}\times l[/tex]and solve for l
[tex]\begin{gathered} l=\frac{10}{\sqrt[]{2}} \\ \\ l=5\sqrt[]{2}\approx7.07 \end{gathered}[/tex]the length of one leg is five roof of two or 7.07