All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Shapes > Geometry
It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
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, 3 Comments) Submitted on 2020-05-08 by Ady TZIDON   
Page 2 of 41   << prev next >>    
Difficulty: 2 of 55 circles in a square part 1 |
Posted on 2019-08-28 by Jer (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Talwalker trouble |
Posted on 2019-08-24 by broll (No Solution Yet, 3 Comments)
Difficulty: 3 of 5A Triangle in a Square |
Posted on 2019-08-21 by Brian Smith (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Constructed incenter |
Posted on 2019-08-16 by Danish Ahmed Khan (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Square and Rectangle | Rating: 4.00
Posted on 2019-07-04 by Brian Smith (Solution Posted, 3 Comments)
Difficulty: 4 of 5Three Orthogonal Chords |
Posted on 2019-05-10 by Brian Smith (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Sections in parallelogram |
Posted on 2019-05-05 by Danish Ahmed Khan (No Solution Yet, 0 Comments)
Difficulty: 4 of 5Diagonal mystery |
Posted on 2019-05-04 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Constructed length ratio |
Posted on 2019-04-22 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Distinct figures of Circle and Triangle |
Posted on 2019-04-21 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 4 of 5The midpoint of Tangency |
Posted on 2019-04-13 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Does the hexagon exist? |
Posted on 2019-04-11 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 3 of 5More Discs in a Triangle |
Posted on 2019-03-29 by Brian Smith (No Solution Yet, 0 Comments)
Difficulty: 4 of 5Too many to work with |
Posted on 2019-03-21 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Is this circular billiards? |
Posted on 2019-03-18 by Brian Smith (No Solution Yet, 4 Comments)
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 (1)
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