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Topic: Pythagorean triple (Read 4140 times) |
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LeoYard
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Pythagorean triple
« on: Nov 23rd, 2012, 8:16pm » |
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Pythagorean triple (33, 56, 65)
hypotenuse = 65, side b = 56
the digits are reversed.
Can we find a similar situation with larger numbers?
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towr
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Re: Pythagorean triple
« Reply #1 on: Nov 24th, 2012, 2:04am » |
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Yes, for example:
50160, 697996, 699796
2125530, 4364584, 4854634
2525490, 6262576, 6752626
I suspect there are infinitely many, because I see no reason why not. But brute force search hasn't yielded many, and none of them are primitive (which is another question).
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towr
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Re: Pythagorean triple
« Reply #2 on: Nov 24th, 2012, 2:20am » |
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Actually, it should have been obvious we can just take the 33,56,65 triple, and multiple it by 10n+1 with n >1 (or similar repeating patterns). So just there's an infinite number of them already. Which makes searching for primitive triples the only really interesting part.
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Christine
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Re: Pythagorean triple
« Reply #3 on: Jan 9th, 2013, 10:50am » |
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Given 3 Pythagorean triangles with the same hypothenuse, is it possible that the area of one triangle is equal to the sum of the areas of the other two triangles?
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Annettagiles
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Re: Pythagorean triple
« Reply #4 on: Oct 13th, 2014, 4:41am » |
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Could you please explain me briefly I can't understand the question
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towr
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Re: Pythagorean triple
« Reply #5 on: Oct 13th, 2014, 8:54am » |
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on Oct 13th, 2014, 4:41am, Annettagiles wrote:| Could you please explain me briefly I can't understand the question |
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What part of the question don't you understand?
Pythagorean triple?
hypotenuse?
digit?
There is quite a lot that could need explanation depending on the level of understanding you're at. What's you're native language and level of education?
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dudiobugtron
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Re: Pythagorean triple
« Reply #6 on: Oct 13th, 2014, 11:34am » |
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I don't really understand Christine's question either!
Quote:| Given 3 Pythagorean triangles with the same hypothenuse, is it possible that the area of one triangle is equal to the sum of the areas of the other two triangles? |
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What is a 'pythagorean triangle'?
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towr
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Re: Pythagorean triple
« Reply #7 on: Oct 13th, 2014, 11:49am » |
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on Oct 13th, 2014, 11:34am, dudiobugtron wrote:I don't really understand Christine's question either!
What is a 'pythagorean triangle'? |
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I'd assume it's a triangle formed by a Pythagorean triple.
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