See complete Problem 168 at:

www.gogeometry.com/problem/p168_parallelogram_triangle_pentagon_area.htm

Parallelogram, Diagonals, Pentagon, Triangles, Areas. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Saturday, August 30, 2008

### Elearn Geometry Problem 168

Labels:
area,
diagonal,
exterior point,
parallelogram,
pentagon,
triangle

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name Sa area surrounded by S4, S5, S6

ReplyDeletefrom P167

S1 + S2 + S3 = S5 + Sa

add in each side 1/4 ABCD (as AOD or DOC)

S1 + S2 + S3 + ( S4 + Sa ) = S5 + Sa + ( S6 )

S1 + S2 + S3 + S4 = S5 + S6

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