IMO LONGLISTED PROBLEM 1970

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MATHPRITOM
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IMO LONGLISTED PROBLEM 1970

Unread post by MATHPRITOM » Sun May 01, 2011 1:32 pm

If a,b,c are side lengths of a triangle,prove that,$(a+b)(b+c)(c+a)\ge8(a+b-c)(b+c-a)(c+a-b)$
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*Mahi*
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Re: IMO LONGLISTED PROBLEM 1970

Unread post by *Mahi* » Sun May 01, 2011 2:02 pm

Replacing $a,b,c$ with $x+y,y+z,z+x$ gives a easy solution.
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MATHPRITOM
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Re: IMO LONGLISTED PROBLEM 1970

Unread post by MATHPRITOM » Sun May 01, 2011 7:59 pm

nice solution.....
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