IRAN 1995
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- Posts:66
- Joined:Tue Mar 20, 2012 12:52 am
Let,the in-circle of $\Delta ABC$ touches the sides of the triangle at $D,E,F$. Let $X,Y,Z$ be the midpoints of $DE,EF,FD$.Prove that the line joining the circum-centre of $\Delta XYZ$ and the circum-centre of $\Delta ABC$ goes through the in-centre of $\Delta ABC$.
Last edited by Masum on Tue May 29, 2012 12:38 pm, edited 1 time in total.
Reason: LaTeXed. Also, you should use proper punctuation for your posts.
Reason: LaTeXed. Also, you should use proper punctuation for your posts.
- FahimFerdous
- Posts:176
- Joined:Thu Dec 09, 2010 12:50 am
- Location:Mymensingh, Bangladesh
Re: IRAN 1995
It's actually ISL 14 of 1986. A nice one where I used a little inversion and it worked. Remember, inversion keeps the original centre, the inverted centre and the centre of inversion collinear.
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