A Nice Midpoint

For discussing Olympiad level Geometry Problems
tanmoy
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Joined:Fri Oct 18, 2013 11:56 pm
Location:Rangpur,Bangladesh
A Nice Midpoint

Unread post by tanmoy » Tue Sep 22, 2015 1:11 am

Let $\Delta DEF$ be the orthic triangle of $\Delta ABC$.$V$ is the point of intersection of the perpendicular to $AB$ through $E$ and $DF$.$M$ is the midpoint of $BC$.$\odot ADM\cap DF=Z$.Prove that $FZ=ZV$.
"Questions we can't answer are far better than answers we can't question"

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Raiyan Jamil
Posts:138
Joined:Fri Mar 29, 2013 3:49 pm

Re: A Nice Midpoint

Unread post by Raiyan Jamil » Wed Aug 03, 2016 8:21 pm

Similarity and angle chase totally kills it....
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