Answer:
[tex]2\sqrt{6}\ in[/tex]
Step-by-step explanation:
we know that
In a square, the measure of a diagonal is given by the formula
[tex]D=b\sqrt{2}[/tex]
where
D is the diagonal
b is the length side of the square
we have
[tex]D=2\sqrt{12}\ in[/tex]
substitute in the formula
[tex]2\sqrt{12}=b\sqrt{2}[/tex]
solve for b
simplify
[tex]b=2\sqrt{6}\ in[/tex]