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Constructing a Rational Rectangle

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If a rectangle has rational side lengths and the distances from a point to the vertices are also rational, the rectangle-point combination is sometimes called a rational rectangle.

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Let and set . If , then there is a rational rectangle for the combination and such that

,

,

,

,

,

.

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Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA

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