10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Routh's Theorem
Jay Warendorff
Pick's Theorem
Ed Pegg Jr
Generalized Pythagoras Theorem
Jaime Rangel-Mondragon
The Eutrigon Theorem
S. M. Blinder
Another Generalization of Pythagoras's Theorem
Jaime Rangel-Mondragon
Mamikon's Proof of the Pythagorean Theorem
John Kiehl
A Relation between the Areas of Four Triangles
Jay Warendorff
Total Areas of Alternating Subtriangles in a 2n-gon
Jay Warendorff
Medial Division of Triangles
Jay Warendorff
Largest Isosceles Triangle Inscribed in a Circle
Jay Warendorff
Related Topics
Area
Plane Geometry
High School Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+