2023 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 11 Easy

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?

  • A.

    \frac { 1 } { 5 }

  • B.

    \frac { 1 } { 4 }

  • C.

    2 - \sqrt { 3 }

  • D.

    \sqrt { 3 } - \sqrt { 2 }

  • E.

    \sqrt { 2 } - 1

Answer:C
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