BdMO National Secondary 2010#8

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samiul_samin
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Joined:Sat Dec 09, 2017 1:32 pm
BdMO National Secondary 2010#8

Unread post by samiul_samin » Fri Feb 22, 2019 11:16 pm

Triangle $ABC$ is right angled at $A$.Let $D$ be a point on $BC$.
$E$ and $F$ are reflections of $D$ on $AC$ and $AB$ respectively.
Prove that $[ABC]\geq [DEF]$.Find all position of $D$ for equality
(Here $[x]$ denotes the area of $x$).

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Secondary 2010#8

Unread post by samiul_samin » Sun Mar 10, 2019 10:24 pm


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