The figure
below shows a parallelogram ABCD of area
S with an exterior point E. If S_{1}, S_{2}, S_{3},
and S_{4}, are the areas of triangles EAB, EBC, ECD, and
EAD, respectively, prove that S_{1} + S_{3} = S_{4}
- S_{2} = S/2.

See also

Poster of Problem 1381

Conformal Mapping or Transformation of Problem
1381

Geometry Problems

Ten problems: 1381-1390

Visual Index

Open Problems

All Problems

Parallelogram

Parallelogram Area

Triangle

Triangle Area

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