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Symmedian Question

 
 
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Symmedian Question
by Max Guo - Saturday, September 17, 2016, 8:22 AM
 

Can anyone give me hints and/or a solution to this problem?

Given a scalene triangle ABC, let the A symmedian meet the circumcircle at a point K. Then BC is the B symmedian of BAK and the C symmedian of CAK.


Thanks,

Max Guo

 
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Re: Symmedian Question
by Areteem Professor - Saturday, September 17, 2016, 6:05 PM
 

Looks like a good problem.  Symmedians have some good properties that can be applied.  I don't have a solution at a glance, but it doesn't appear to be a hard problem.  Everyone please share some ideas.

 
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