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2006 AMC 10B Problem 23

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2006 AMC 10B Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangle Centers & Cevians · difficulty 4 of 5 · about 7 min · position P21-25

A triangle is partitioned into three triangles and a quadrilateral by drawing two lines from vertices to their opposite sides. The areas of the three triangles are 3, 7, and 7, as shown. What is the area of the shaded quadrilateral?

figure

  1. A)

    1515

  2. B)

    1717

  3. C)

    352\frac{35}{2}

  4. D)

    1818

  5. E)

    553\frac{55}{3}

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