# Rational Rectangles

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If the four corners of a rectangle with rational sides have rational distances , , , to a point , the resulting rectangle-point combination is sometimes called a rational rectangle. A given set of four distances to a point supports four distinct rectangles. The British flag theorem holds for distances to the opposing corners.

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Whether a square can be a rational rectangle is a long-unsolved problem.

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Contributed by: Ed Pegg Jr (August 2022)
Open content licensed under CC BY-NC-SA

## Details

Reference

[1] Wikipedia. "British Flag Theorem." (Mar 17, 2022) en.wikipedia.org/wiki/British_flag_theorem.

## Permanent Citation

Ed Pegg Jr "Rational Rectangles"
http://demonstrations.wolfram.com/RationalRectangles/
Wolfram Demonstrations Project
Published: August 16, 2022

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