The Carpets Theorem

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.

THINGS TO TRY

SNAPSHOTS

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DETAILS

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