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AMC12 2009a Test Paper
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Sample Question 20:

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?

(A) 92(B) 5011(C) 214(D) 173(E) 6\textbf{(A)}\ \frac {9}{2}\qquad \textbf{(B)}\ \frac {50}{11}\qquad \textbf{(C)}\ \frac {21}{4}\qquad \textbf{(D)}\ \frac {17}{3}\qquad \textbf{(E)}\ 6




Answer Keys

Question 20: E