All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Solution with explanationJason Booza2020-05-26 15:19:14
Solution with explanationFrankM2020-05-09 20:47:46
solution and correctionxdog2020-05-08 08:52:40
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information