Geometry Problem 749: Triangle, Rhombus, Parallel, Harmonic Means, Measurement, Typography, iPad Apps

Proposition

The figure shows a triangle ABC. Points D, E, F are chosen on AB, BC and AC, respectively, so that ADEF is a rhombus. Prove that the side of the rhombus is one-half the harmonic mean of AB and AC.


Art and Typography of Geometry Problem 749: Triangle, Rhombus, Parallel, Harmonic Means, iPad Apps


Geometric Art using 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.

See also:
Original problem 749.

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