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Pythagorean Triples Project.
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| Submitted: Mon Oct 13 2003
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Pythagorean Triples Project 2 [image005.gif] 3 4 5 5 12 13 A B C Pythagorean Triples Project [image009.gif] Pythagoras theorem states that the sum of the shortest sides squared equals the hypotenuse squared. In algebraic terms, a + b^2 = c^2 where c is the hypotenuse while a and b are the shorter sides of the triangle. The theorem is of fundamental importance in the Euclidean Geometry where it serves as a basis for the definition of distance between two points [image010.gif] The theory can be proved using various diagrams [image011.gif] If you start with two squares with sides a and b, respectively, placed side by side. The total area of the two squares is a^2+b^2. The construction did not start with a triangle but if you draw two of them, both with sides a and b and hypotenuse c. Note that the segment common to the two squares...
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