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Sums of Squares of the Side Lengths and Various Radii of a Triangle

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For a triangle , let , , be the lengths of the sides opposite the vertices , , ; be the incircle; be the circumcircle; and , , be the excircles opposite , , .

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Then .

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

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