Poster of Geometry Problem 1381: Parallelogram, Exterior Point, Triangle, Area, iPad Apps

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.
 

Poster of Geometry Problem 1381: Parallelogram, Exterior Point, Triangle, Area, iPad Apps. Math Infographic, Tutor

See solution below

See also:
Original problem 1381.
Conformal Mapping or Transformation of Problem 1381

Geometric Art using iPad or Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.
 

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Geometry Problem 1381 Solution(s)