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Topic: Triangle inscribed in another triangle (Read 390 times) |
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O09
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Posts: 6
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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?
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« Last Edit: Nov 7th, 2009, 6:29am by O09 » |
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Obob
Senior Riddler
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Posts: 489
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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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