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

 Triangle in a triangle (Posted on 2017-08-28)
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.)
 re: How about this one? | Comment 3 of 4 |
(In reply to How about this one? by Larry)

Nice!

You don't even need a triangle that extreme.  A triangle with sides 3,3,5 has its shortest altitude of sqrt(11)/2 = 1.658.

The equilateral triangle 2,2,2 has all its sides smaller and has altitudes of sqrt(3) = 1.732, which won't fit in the 3,3,5 triangle.

 Posted by Brian Smith on 2017-08-28 13:23:33
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 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information