# Can YOU find the length with only one measure?

Geometry Level 1

Consider the above diagram, with:

• $$AE=AD$$
• Square $$BCDE$$, with a circle circumscribed.
• $$CD=2\sqrt{2}$$
• $$\frac{BE}{AE}$$ can be written as $$\frac{\sqrt{a}}{\sqrt{b+(c-\sqrt{d}) ^ k}}$$, where every variable is equal to a natural number under 10.
• $$y=k ^ a-(d ^ b)^c)$$
• $$\frac{y}{a}$$ can be written as $$\frac{f}{g}$$, where $$gcf(g, f)=1$$
• $$f-g=x$$

What is the value of $$x$$?

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