Sunday, July 27, 2008

Elearn Geometry Problem 151



See complete Problem 151
Quadrilateral, Area, Trisection of Sides. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

3 comments:

  1. proved from Proposed Problem 150, EFMN=S/3=PQGH, so S1+S3=S2+S4

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  2. bu çözümü anlamadık daha açıklayıcı olabilir misiniz yorumları olan yokmu acil çok

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  3. A more "explicit" solution to problem 151.
    Let S5 be the area of the central quadrilateral. As proved in problem 150,
    S(GHPQ) = S/3 and S(EFMN) = S/3.
    Then S(GHPQ) = S1 + S3 + S5 = S/3 and
    S(EFMN) = S2 + S4 + S5.
    Hence S1 + S3 = S2 + S4 = S/3 – S5.

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