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Pythagorean Triangles with the Same Area

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Explore Pythagorean triangles with the same area. They appear in sets of three because the legs (a and b) and the hypotenuse (c) can be written in three different ways in terms of parameters r and s.

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

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The lengths of the legs and and the hypotenuse can be written in terms of integers and as

, ,

that have three sets of solutions for and given by

, ;

, ;

, .

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