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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
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Automatic Animation
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DETAILS
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
,
;
,
;
,
.
RELATED LINKS
Pythagorean Triple
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Pythagorean Triangles with the Same Area
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PythagoreanTrianglesWithTheSameArea/
Contributed by:
Enrique Zeleny
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