Given data:
The given side of the square is a=10 cm.
The expression for the diagonal of the square is,
[tex]\begin{gathered} d=\sqrt[]{a^2+a^2} \\ =a\sqrt[]{2} \end{gathered}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} d=(10\text{ cm)}\sqrt[]{2} \\ =14.14\text{ cm} \end{gathered}[/tex]Thus, the length of the diagonal of the square is 14.14 cm.