Geometry Problem 1381: Parallelogram, Exterior Point, Triangle, Area
Proposition
The figure
below shows a parallelogram ABCD of area
S with an exterior point E. If S1, S2, S3,
and S4, are the areas of triangles EAB, EBC, ECD, and
EAD, respectively, prove that S1 + S3 = S4
- S2 = S/2.
See also
Poster of Problem 1381
Conformal Mapping or Transformation of Problem
1381
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