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Distances from the Incenter to the Fermat Points

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For a triangle , let be the incenter and and be the two Fermat points.

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Define:

= inradius,

= semiperimeter,

,

(Conway notation),

= Brocard angle.

Then

,

.

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

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