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2006 AMC 10A Problem 23

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2006 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 5 min · position P21-25

Circles with centers AA and BB have radius 3 and 8, respectively. A common internal tangent intersects the circles at CC and DD , respectively. Lines ABAB and CDCD intersect at EE , and AE=5AE=5 . What is CDCD ?

figure

  1. A)

    1313

  2. B)

    443\frac{44}{3}

  3. C)

    221\sqrt{221}

  4. D)

    255\sqrt{255}

  5. E)

    553\frac{55}{3}

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