Respuesta :

Given:

The side of the square = [tex]9\sqrt{6}[/tex] m

To find:

The diagonal of the square.

Solution:

We know that the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, d is the length of diagonal and a is the side of the square.

Putting [tex]a=9\sqrt{6}[/tex], we get

[tex]d=9\sqrt{6}\sqrt{2}[/tex]

[tex]d=9\sqrt{12}[/tex]

[tex]d=9(2\sqrt{3})[/tex]

[tex]d=18\sqrt{3}[/tex]

Therefore, the diagonal of the square is [tex]18\sqrt{3}[/tex] m.