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Distance between the Centers of the Nine-Point and Apollonius Circles

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For a triangle , let and be the circumradius and inradius, be the semiperimeter, be the nine-point circle and be the Apollonius circle.

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Then , ,

and

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You can drag the points , and .

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

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