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Counting Triangles

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Visit this site: http://www.cut-the-knot.org/Curriculum/Algebra/NSquared.shtml

Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: Division of a square by evenly spaced lines parallel to its sides yields a number of small squares which is clearly square. Interestingly, the same is true for a triangle divided by evenly spaced lines parallel to its sides. The page contains a dynamic illustration of this result and a demonstration that it is equivalent to the well known fact that the sum of a series of odd numbers is a square.

Levels: High School (9-12), College
Languages: English
Resource Types: Graphics, Web Interactive/Java
Math Topics: Basic Algebra

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