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2017 AMC 10B Problem 21

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2017 AMC 10B Problem 21AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangle Centers & Cevians · difficulty 3 of 5 · about 5 min · position P21-25

In △ABC\triangle ABC , AB=6AB=6 , AC=8AC=8 , BC=10BC=10 , and DD is the midpoint of BC‾\overline{BC} . What is the sum of the radii of the circles inscribed in △ADB\triangle ADB and △ADC\triangle ADC ?

  1. A)

    5\sqrt{5}

  2. B)

    114\frac{11}{4}

  3. C)

    222\sqrt{2}

  4. D)

    176\frac{17}{6}

  5. E)

    33

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