The Carpets Theorem

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Drag the locators to divide the square into various combinations of triangles and quadrilaterals. The area of the red quadrilateral equals the sum of the areas of the other three colored polygons.

Contributed by: Jay Warendorff (March 2011)
After work by: Alexander Bogomolny
Open content licensed under CC BY-NC-SA


Snapshots


Details

A. Bogomolny, "Carpets Theorem," Interactive Mathematics Miscellany and Puzzles, www.cut-the-knot.org/Curriculum/Geometry/CarpetsInSquare.shtml.



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