Answer :

It is given that the diagonal of a square is 12 inches.

The square is given by the diagram shown below:

In the triangle ABC by pythagorean theorem it follows:

[tex]\begin{gathered} AB^2+BC^2=AC^2 \\ 2AB^2=12^2 \\ AB^2=\frac{144}{2} \\ AB^2=72 \\ AB=\sqrt[]{72}=6\sqrt[]{2} \end{gathered}[/tex]

Hence the side is given by:

[tex]s=6\sqrt[]{2}\text{ inches}[/tex]

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