Counting Triangles
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http://www.cuttheknot.org/Curriculum/Algebra/NSquared.shtml  


Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny  
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 (912), College 
Languages:  English 
Resource Types:  Graphics, Web Interactive/Java 
Math Topics:  Basic Algebra 
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