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Triangle in a triangle (
Posted on 20170828
)
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?
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Submitted by
Jer
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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 20170828 13:23:33
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