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#1 2007-12-04 09:50:54

tony123
Member
Registered: 2007-08-03
Posts: 228

hard

If 

and

are lengths of a triangle  such that

Prove that
rolleyes

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#2 2007-12-04 11:47:19

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: hard

Well, we just have to use Heron’s formula for the area of a triangle, don’t we? The area S is

Since 16S[sup]2[/sup] must be > 0, put that in, and after some re-arranging you’ll get the required inequality.
­

Last edited by JaneFairfax (2007-12-04 11:48:07)

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