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2013 AMC 10A Problem 23

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2013 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 6 min · position P21-25

In △ABC\triangle ABC , AB=86AB = 86 , and AC=97AC=97 . A circle with center AA and radius ABAB intersects BC‾\overline{BC} at points BB and XX . Moreover BX‾\overline{BX} and CX‾\overline{CX} have integer lengths. What is BCBC ?

  1. A)

    1111

  2. B)

    2828

  3. C)

    3333

  4. D)

    6161

  5. E)

    7272

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