Re: tetrahedron, sphere



On Sat, 22 Oct 2005 23:58:01 +0200, "Bobobobek" <nospam@xxxxxx> wrote:

>There is ABCD tetrahedron with sphere inside (inscribed).
>For SA>=SB>=SC
>Show that SA > sqrt(5)
>I'v got some problems with it. First of all is it real true??
>Bobo

The statement problem is clearly incomplete.

Firstly, what is S? Is it the center of the sphere?

Secondly, it seems like the inequality should probably continue to SD
as well. Check that.

But the most obvious omission is that you've given no information
about the size of the tetrahedron. If the tetrahedron is extremely
small, how could SA > sqrt(5) be true?

quasi
.



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