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   Triangle inscribed in another triangle
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   Author  Topic: Triangle inscribed in another triangle  (Read 390 times)
O09
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Triangle inscribed in another triangle  
« on: Nov 6th, 2009, 7:46pm »
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Prove that the triangles inscribed in the incircle of a given triangle have semi perimeter s1<= s/2 where s is the semi perimeter of the original triangle. When does equality hold?
« Last Edit: Nov 7th, 2009, 6:29am by O09 » IP Logged
Obob
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Re: Triangle inscribed in another triangle  
« Reply #1 on: Nov 6th, 2009, 9:12pm »
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I take it you mean the minimum perimeter?  The maximum perimeter would be assumed by the triangle itself.
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O09
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Re: Triangle inscribed in another triangle  
« Reply #2 on: Nov 7th, 2009, 6:30am »
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Sorry for the mistake in the problem. See corrected version above.
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