IMO LONGLISTED PROBLEM 1970
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If a,b,c are side lengths of a triangle,prove that,$(a+b)(b+c)(c+a)\ge8(a+b-c)(b+c-a)(c+a-b)$
Re: IMO LONGLISTED PROBLEM 1970
Replacing $a,b,c$ with $x+y,y+z,z+x$ gives a easy solution.
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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- Posts:190
- Joined:Sat Apr 23, 2011 8:55 am
- Location:Khulna
Re: IMO LONGLISTED PROBLEM 1970
nice solution.....