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2005 AMC 10B Problem 10

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2005 AMC 10B Problem 10AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P1-10

In △ABC\triangle ABC , we have AC=BC=7AC=BC=7 and AB=2AB=2 . Suppose that DD is a point on line ABAB such that BB lies between AA and DD and CD=8CD=8 . What is BDBD ?

  1. A)

    33

  2. B)

    232\sqrt{3}

  3. C)

    44

  4. D)

    55

  5. E)

    424\sqrt{2}

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