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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.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
A. Bogomolny, "Carpets Theorem," Interactive Mathematics Miscellany and Puzzles,
www.cut-the-knot.org/Curriculum/Geometry/CarpetsInSquare.shtml
.
RELATED LINKS
Quadrilateral
(
Wolfram
MathWorld
)
Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Carpets Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheCarpetsTheorem/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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