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Geometry Problem 766: Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean. Level: High School, College.

The figure shows a triangle ABC with the altitudes ha, hb, hc and the exradii ra, rb, rc. Prove that the harmonic mean of the altitudes is equal to the harmonic mean of the exradii, therefore, Geometry problem 766, formula to prove.
 

Triangle, Altitudes, Exradius, Exradii, Equal Harmonic Mean
 


 

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