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The probability of finding an isosceles triangle.


Best Answer BMAD, 25 March 2013 - 05:39 AM

Spoiler for did we forget?

What's triangle inequality?

Spoiler for possible triangles

 

 

Spoiler for

Go to the full post


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12 replies to this topic

#1 BMAD

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Posted 23 March 2013 - 06:22 AM

Using integer side lengths, what is the probability of forming an isosceles triangle if the perimeter is 12?


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#2 TimeSpaceLightForce

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Posted 23 March 2013 - 05:35 PM

Spoiler for


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#3 Prime

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Posted 23 March 2013 - 08:36 PM

Spoiler for I get


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Past prime, actually.


#4 bonanova

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Posted 24 March 2013 - 03:55 AM

I agree with Prime provided the OP is worded,
What fraction of integer-sided triangles whose perimeter is 12 are isosceles?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 TimeSpaceLightForce

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Posted 24 March 2013 - 07:42 PM

Spoiler for breaking stick with unit notch


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#6 Prime

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Posted 25 March 2013 - 01:31 AM

Depending on random selection process, there is another possibility.

Spoiler for another answer


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Past prime, actually.


#7 BMAD

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Posted 25 March 2013 - 02:29 AM

Spoiler for did we forget?


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#8 Prime

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Posted 25 March 2013 - 04:33 AM

Spoiler for did we forget?

What's triangle inequality?

Spoiler for possible triangles

Edited by Prime, 25 March 2013 - 04:36 AM.

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Past prime, actually.


#9 BMAD

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Posted 25 March 2013 - 04:40 AM

Spoiler for did we forget?

What's triangle inequality?

Spoiler for possible triangles
Spoiler for the triangle inequality theorem

Edited by BMAD, 25 March 2013 - 04:46 AM.

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#10 Prime

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Posted 25 March 2013 - 05:09 AM

 

Spoiler for did we forget?

What's triangle inequality?

Spoiler for possible triangles
Spoiler for the triangle inequality theorem

So, 0-angle triangles are being discriminated. That's an injustice.

Still, my last post gives two different answers even for that case.


Edited by Prime, 25 March 2013 - 05:12 AM.

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Past prime, actually.





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