Respuesta :

Answer:

Diagonal length =[tex]5\sqrt{10}[/tex]

Step-by-step explanation:

Length of the diagonal of a square = [tex]\sqrt{2} *a[/tex]

where, ' [tex]a[/tex]' is the side of the square

Side length of the square ([tex]a[/tex])= [tex]5\sqrt{5}[/tex]

Length of the diagonal=

                                       =[tex]\sqrt{2} *5\sqrt{5} \\\\5\sqrt{10}[/tex]

The square with give side length of [tex]5\sqrt{5}[/tex], have a diagonal length of [tex]5\sqrt{10}[/tex]