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Radius and Altitudes (Posted on 2020-05-08) Difficulty: 3 of 5
Prove the following theorem:
The radius r of the circle inscribed in any triangle, say ABC ,
equals 1/3 of the harmonic average of the 3 altitudes,
i.e.
1/r = 1/h(A)+1/h(B)+1/h(C)

No Solution Yet Submitted by Ady TZIDON    
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re: Solution with explanation Comment 3 of 3 |
(In reply to Solution with explanation by FrankM)

Nice!
  Posted by Jason Booza on 2020-05-26 15:19:14

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