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A Generalization of Hansen's Theorem

Let ABC be a triangle and H its orthocenter. Let and R be the radii of the incircle and circumcircle. Let , , and be the radii of the excircles opposite A, B, and C. Then .

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See Hansen's Right Triangle Theorem, Its Converse and a Generalization.

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"A Generalization of Hansen's Theorem" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/AGeneralizationOfHansensTheorem/
Contributed by: Jay Warendorff
After work by: Amy Bell
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