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December 21st, 2012, 04:00 PM  #1 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  triangle and circle
A circle inscribed into a triangle ABC, sides of triangle ABC are a, b & c. The tangent points are D, E, & F. Find the sides of triangle DEF. My answer is Can anyone check this? 
December 21st, 2012, 08:42 PM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,274 Thanks: 1023  Re: triangle and circle
DEFINITELY not correct. Try that on ABC = 345 triangle.

December 21st, 2012, 09:34 PM  #3 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: triangle and circle
Ok. Where did I do wrong?

December 22nd, 2012, 02:42 AM  #4  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,274 Thanks: 1023  Re: triangle and circle Quote:
 
December 22nd, 2012, 03:22 AM  #5 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: triangle and circle
check this and etc.

December 22nd, 2012, 11:00 AM  #6 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,274 Thanks: 1023  Re: triangle and circle
Correct! Did you switch fron cheap Russian vodka to Canadian Club whiskey? Made up program to search for integer cases: only found this primitive case(keeping a<1000): a=350, b=625, c=625 ; area = 105000 d = 210, e=210, f=252 ; area = 21168 My Xmas gift to you 
December 23rd, 2012, 05:50 AM  #7  
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: triangle and circle Quote:
 
December 23rd, 2012, 08:53 AM  #8  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,274 Thanks: 1023  Re: triangle and circle Quote:
 
December 23rd, 2012, 06:31 PM  #9  
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: triangle and circle Quote:
 

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