October 26th, 2009, 01:08 PM  #1 
Newbie Joined: Oct 2009 Posts: 4 Thanks: 0  Geometry  triangle
A triangle ABC, which has is inscribed into circle with centre S. Line CS intersects segment AB in point D. Show that if then radii of incircles of ADC and BDC have the same length.

October 26th, 2009, 02:56 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,521 Thanks: 1747 
The above is problem 7 from the first round of the current Polish National Olympiad, being held in September to November this year. Another problem you posted is problem 6 from the same source. It is reasonable to assume you submit your own work for these problems in order to qualify for the next round. I therefore ask people here not to offer help on these questions until December 2009.

October 26th, 2009, 03:02 PM  #3 
Senior Member Joined: Mar 2007 Posts: 428 Thanks: 0  Re: Geometry  triangle
I have other thoughts as to why such problems are posted and posted here rather than in some other more suitable forums I've attended, but will let that pass. I'd simply add the same old suggestion: Don't do anything for anyone who shows nothing for themselves. That is, unless you are spending time in jail and need something to pass the time.

October 26th, 2009, 08:31 PM  #4 
Senior Member Joined: Oct 2009 Posts: 105 Thanks: 0  Re: Geometry  triangle
Nice catch skipjack. I've never heard of the Polish National Olympiad. *looks it up* 

Tags 
geometry, triangle 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
GeometryTriangle  Aman Verma  Geometry  2  December 15th, 2013 12:40 AM 
Geometry: Incircle of a Triangle  fishsticks1907  Geometry  2  June 5th, 2012 10:05 AM 
Geometry, triangle question.  fishsticks1907  Geometry  5  May 23rd, 2012 12:08 PM 
triangle geometry  biosavart  Geometry  6  December 8th, 2010 07:37 PM 
Geometry Triangle Proof  meph1st0pheles  Geometry  1  January 31st, 2010 07:51 PM 