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Why It's Hard to Fold a Triangle in Half (Math Chat)

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Visit this site: http://www.maa.org/features/mathchat/mathchat_6_4_99.html

Author:Frank Morgan, MAA Online
Description: For a circular piece of paper, the lines along which you can fold it "in half" (with half the area on each side) are precisely the lines through the center. What other shapes work the same way? This works for lots of shapes, such as rectangles, parallelograms, regular hexagons, and ellipses, but not for others, such as triangles and most irregular shapes...

Levels: Middle School (6-8), High School (9-12)
Languages: English
Resource Types: Problems/Puzzles, Articles
Math Topics: Euclidean Plane Geometry

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