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Medial triangles

Source: 1976 AHSME Problem 9

May 15, 2014
geometryratioAMC

Problem Statement

In triangle ABCABC, DD is the midpoint of ABAB; EE is the midpoint of DBDB; and FF is the midpoint of BCBC. If the area of △ABC\triangle ABC is 9696, then the area of △AEF\triangle AEF is
<spanclass=′latex−bold′>(A)</span>16<spanclass=′latex−bold′>(B)</span>24<spanclass=′latex−bold′>(C)</span>32<spanclass=′latex−bold′>(D)</span>36<spanclass=′latex−bold′>(E)</span>48<span class='latex-bold'>(A) </span>16\qquad<span class='latex-bold'>(B) </span>24\qquad<span class='latex-bold'>(C) </span>32\qquad<span class='latex-bold'>(D) </span>36\qquad <span class='latex-bold'>(E) </span>48
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