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2004 AMC 10B Problem 22

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2004 AMC 10B Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangle Centers & Cevians · difficulty 4 of 5 · about 5 min · position P21-25

A triangle with sides of 5, 12, and 13 has both an inscribed and a circumscribed circle. What is the distance between the centers of those circles?

  1. A)

    352\frac{3\sqrt{5}}{2}

  2. B)

    72\frac{7}{2}

  3. C)

    15\sqrt{15}

  4. D)

    652\frac{\sqrt{65}}{2}

  5. E)

    92\frac{9}{2}

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