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?

If there is a convention that labeling is always alphabetical clockwise (or vice versa) then it will always fit. But if one is labeled clockwise and the other counterclockwise then no, it will not always fit. 

Posted by Charlie on 2017-08-28 12:17:22