Geometry Problem 1495: Circle, Parallel Chords, 30 Degree Angle, Radius Squared

The figure below shows a circle of radius r, chords AB, CD, and EF are parallel lines and chords AD and and CF are parallel lines, Prove that \({AB^2+CD^2+EF^2} = {6\cdot r^2}\).

Geometry Problem 1495: Circle, Parallel Chords, 30 Degree Angle, Square

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Typography and Sketch of Problem 1495: Machu Picchu in the background


Geometry Problem 1495: Circle, Parallel Chords, 30 Degree Angle, Square, Machu Picchu in the background

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.


Geometry Problem 1495 Solution(s)