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2011 AMC 10B Problem 9

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2011 AMC 10B Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Similar & Congruent Triangles · difficulty 2 of 5 · about 3 min · position P1-10

The area of △\triangle EBDEBD is one third of the area of 3−4−53-4-5 △\triangle ABCABC . Segment DEDE is perpendicular to segment ABAB . What is BDBD ?

figure

  1. A)

    43\frac{4}{3}

  2. B)

    5\sqrt{5}

  3. C)

    94\frac{9}{4}

  4. D)

    433\frac{4\sqrt{3}}{3}

  5. E)

    52\frac{5}{2}

Working