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

Home > Shapes
Inscribed Polygon Crossed Root Side Resolution (Posted on 2023-04-29) Difficulty: 3 of 5
Consider a convex polygon such that:
  • Each of its sides correspond to the square root of a positive integer.
  • The polygon can be inscribed in an unit circle.
Determine the total number of polygons that simultaneously satisfy the 2 properties mentioned above.

Note: Polygons that are rotations and reflections of each other are considered the same.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts There's one more | Comment 4 of 6 |
sqrt(3) can subtend either 120 or 240

The final triangle is sqrt(3)-1-1 in Steve's notation or 
240+60+60 in Charlie's.

I say final, but I don't know if I'm absolutely sure there are no more.


  Posted by Jer on 2023-04-29 18:15:22
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 (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information