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

Home > Just Math
Heron at rescue (Posted on 2020-10-23) Difficulty: 3 of 5
Let a,b,c be integers which are lengths of sides of a triangle, gcd(a,b,c)=1 and all the values (a2+b2-c2)/(a+b-c), (b2+c2-a2)/(b+c-a), (c2+a2-b2)/(c+a-b) are integers as well. Show that (a+b-c)(b+c-a)(c+a-b) or 2(a+b-c)(b+c-a)(c+a-b) is a perfect square.

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:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (4)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
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