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

Home > Shapes
Triangle in a triangle (Posted on 2017-08-28) Difficulty: 1 of 5
If you have a triangle with sides A<B<C
and a smaller triangle with sides a<b<c,
where a<A, b<B, and c<C,
will the smaller triangle always fit entirely within the larger one?

No Solution Yet Submitted by Jer    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re(2): How about this one? Comment 4 of 4 |
(In reply to re: How about this one? by Brian Smith)

Though your 2,2,2 and 3,3,5 don't quite fit the problem I like them.  They lead to some nice extensions for integer sided triangles:

How small can they be?
How small can the difference between their perimeters be?
What if those less than signs were less than or equal to signs?

  Posted by Jer on 2017-08-28 15:19:12
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information