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

Home > Shapes
Product in a Circle (Posted on 2013-03-09) Difficulty: 3 of 5
Suppose ABCD is a cyclic quadrilateral inscribed in a circle of radius one unit. If AB * BC * CD * DA >= 4, prove that ABCD is a square and in fact that the equality holds rather than the inequality as the product never exceeds 4.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
There are no comments yet.
Please log in:
Remember me:
Sign up! | Forgot password

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

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