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Topic: Random Triangle Problem
Replies: 57   Last Post: Aug 17, 1997 10:51 PM

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T. Sheridan

Posts: 14
Registered: 12/12/04
Re: Random Triangle Problem
Posted: Jul 23, 1997 9:31 PM
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I think the problems is you need to know if the region is bounded.
If it's on an infinite plane then the probability of the triangle being
obtuse aproaches 1.

The reason is simple. Just imagine two points are picked. (A,B) They
always form a line. [AB} Now there are two perpendiculars extending
from each point.
. * .
| |
| |
* | * | *
| |
A------------------B
| |
| * |
| |
. * |


They define two half planes wherein the third point will create an
obtuse. That's virtually all the area. Within the two perpendiculars
There is a small band of area close th ethe line where the triangle can
also be obtuse but the rest is acute.

If the region is bounded then the calculs gets miserable.

Unless I'm just wrong :)

But the odds against that are .9
So I'd say .9 of the time the triangle is obtuse.
--
=========--------- -
mailto:Sparky@navpoint.com
http://navpoint.com/~sparky
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Date Subject Author
7/16/97
Read Random Triangle Problem
Mike Housky
7/21/97
Read Re: Random Triangle Problem
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7/22/97
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7/24/97
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8/2/97
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8/7/97
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8/16/97
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8/17/97
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7/30/97
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7/30/97
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