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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    
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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
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