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Pythagorean Triangles with the Same Area


	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

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

,

;

,

;

,

.

Pythagorean Triple (Wolfram MathWorld)

"Pythagorean Triangles with the Same Area" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PythagoreanTrianglesWithTheSameArea/

Contributed by: Enrique Zeleny

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