See complete Problem 151

Quadrilateral, Area, Trisection of Sides. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Sunday, July 27, 2008

### Elearn Geometry Problem 151

Labels:
area,
Problem 150,
quadrilateral,
trisection

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

ReplyDeletebu çözümü anlamadık daha açıklayıcı olabilir misiniz yorumları olan yokmu acil çok

ReplyDeleteA more "explicit" solution to problem 151.

ReplyDeleteLet 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.

Solution posted on Twitter:

ReplyDeleteCan't upload a picture here...

https://twitter.com/panlepan/status/894134252383719424

Your solution on Twitter has been embedded at http://www.gogeometry.com/problem/p151_quadrilateral_area_trisection.htm

DeleteThanks Vincent