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2014 AMC 10A Problem 22

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2014 AMC 10A Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 4 of 5 · about 5 min · position P21-25

In rectangle ABCDABCD , AB=20AB=20 and BC=10BC=10 . Let EE be a point on CD‾\overline{CD} such that ∠CBE=15∘\angle CBE=15^\circ . What is AEAE ?

  1. A)

    2033\dfrac{20\sqrt3}3

  2. B)

    10310\sqrt3

  3. C)

    1818

  4. D)

    11311\sqrt3

  5. E)

    2020

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