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2009 AMC 10A Problem 23

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2009 AMC 10A Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Similar & Congruent Triangles · difficulty 4 of 5 · about 5 min · position P21-25

Convex quadrilateral ABCDABCD has AB=9AB=9 and CD=12CD=12 . Diagonals ACAC and BDBD intersect at EE , AC=14AC=14 , and △AED\triangle AED and △BEC\triangle BEC have equal areas. What is AEAE ?

  1. A)

    92\frac{9}{2}

  2. B)

    5011\frac{50}{11}

  3. C)

    214\frac{21}{4}

  4. D)

    173\frac{17}{3}

  5. E)

    66

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