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In the figure below, given a triangle
AED, M and N are the midpoints of cevians AC and DB
respectively. If S1 and S are the areas of the triangle MEN and
the quadrilateral ABCD respectively, prove that:
 .
HINTS:
1. CEVIAN:
A Cevian is a line segment which
joins a vertex of a triangle with a point on the opposite side
(or its extension).
2. See Problems
87,
89
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