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Inradius and Perimeter (Posted on 2008-02-26) Difficulty: 3 of 5
Show that a triangle's perimeter is more than 10 times the radius of its incircle.

See The Solution Submitted by Praneeth    
Rating: 4.0000 (2 votes)

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re: computer exploration -- not proof -- spoiler -- finer grid | Comment 2 of 3 |
(In reply to computer exploration -- not proof -- spoiler by Charlie)

       59.7     59.8     59.9     60.0     60.1     60.2
59.7 10.39287 10.39270 10.39258 10.39249 10.39245 10.39245
59.8 10.39270 10.39256 10.39245 10.39239 10.39237 10.39239
59.9 10.39258 10.39245 10.39237 10.39233 10.39233 10.39237
60.0 10.39249 10.39239 10.39233 10.39230 10.39233 10.39239
60.1 10.39245 10.39237 10.39233 10.39233 10.39237 10.39245
60.2 10.39245 10.39239 10.39237 10.39239 10.39245 10.39256

  Posted by Charlie on 2008-02-26 12:27:11
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