AMC 12 2023 A Problem 9

A square of area 2 is inscribed in a square of area 3, creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle?

Answer Choices
A. \dfrac{1}{5}
B. \dfrac{1}{4}
C. 2-\sqrt{3}
D. \sqrt{3}-\sqrt{2}
E. \sqrt{2}-1

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