Triangle Radicals
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An integer-sided triangle always has an area of the form , where
is a square-free number and
is an integer. Denote
, which appears under the radical sign, as the "radical of the triangle".
Contributed by: Ed Pegg Jr (May 2016)
Open content licensed under CC BY-NC-SA
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For all triangles with a given square-free radical , the value
is also divisible by the
term of
, where
(mod12).
In the Demonstration "Wheel Graphs with Integer Edges", it was shown that all small integer-edge wheel graphs use triangles of two or fewer radical types.
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