Problem 279

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phsr
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Joined: Tue Dec 15, 2009 12:00 am

Problem 279

Post by phsr »

If triangle with sides (a,b,c) is a solution, do you consider (b,a,c), (c,b,a) etc as independent solutions?
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elendiastarman
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Re: Problem 279

Post by elendiastarman »

Problem 279 (View Problem)

Given the trend set by many previous problems...I would say they are the same triangle. After all, in your example, the transformations are a reflection and a reflection+rotation with regards to the original.

If one of the site's "admins" know I'm wrong, please correct me.
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3.14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679...?
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rayfil
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Re: Problem 279

Post by rayfil »

That would be the same triangle, wouldn't it?
When you assume something, you risk being wrong half the time.
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stijn263
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Re: Problem 279

Post by stijn263 »

They're considered the same triangle. a = 3, b = 4, c = 5 is (obviously) the same triangle as b = 3, a = 4, c = 5. The labeling is arbitrary.
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kvom
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Re: Problem 279

Post by kvom »

My program's incorrect answer is between 9x10^7 and 10^8. Am I anywhere close or else clueless?
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stijn263
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Re: Problem 279

Post by stijn263 »

The answer is about 5 times as large..

Good luck :-)
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