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        riddles >> easy >> Triangle inscribed in another triangle
        
(Message started by: O09 on Nov 6^th, 2009, 7:46pm)

Title: Triangle inscribed in another triangle
Post by O09 on Nov 6^th, 2009, 7:46pm

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?

Title: Re: Triangle inscribed in another triangle
Post by Obob on Nov 6^th, 2009, 9:12pm

I take it you mean the minimum perimeter? The maximum perimeter would be assumed by the triangle itself.

Title: Re: Triangle inscribed in another triangle
Post by O09 on Nov 7^th, 2009, 6:30am

Sorry for the mistake in the problem. See corrected version above.