In the figure above, the vertices of square BDFH are the midpoints of the sides of square ACEG, and a circle is inscribed in square BDFH. lf the radius of the circle is $$ \sqrt{2} $$ , what is the length of each side of square ACEG?
In the figure above, the vertices of square BDFH are the midpoints of the sides of square ACEG, and a circle is inscribed in square BDFH. lf the radius of the circle is $$ \sqrt{2} $$ , what is the length of each side of square ACEG?