Respuesta :

Answer:

Step-by-step explanation:

a square has sides that are all the same length.  That means that if we have a diagonal of a square that measures 10, using Pythagorean's Theorem,

[tex]x^2+x^2=10^2[/tex] and

[tex]2x^2=100[/tex] and

[tex]x^2=50[/tex] so

[tex]x=\sqrt{50}=\sqrt{25*2}=5\sqrt{2}[/tex]