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2023 AMC 10A Problem 11

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2023 AMC 10A Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 3 of 5 · about 4 min · position P11-15

A square of area 22 is inscribed in a square of area 33 , creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle? figure

  1. A)

    15\frac15

  2. B)

    14\frac14

  3. C)

    2−32-\sqrt3

  4. D)

    3−2\sqrt3-\sqrt2

  5. E)

    2−1\sqrt2-1

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