All Pythagorean triples where area = perimeter (numerically)?

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All Pythagorean triples where area = perimeter (numerically)?

Mathematics
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More algebra...:-)
5,12,13 using trial and error method ^^
That's one.....

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Other answers:

what do you mean?
By what?
one more: 6,8,10
That's two....
hehe...
ok, general form tripel pythagorean number is : a=x b=(x^2-1)/2 c=(x^2+1)/2 with a
so, just 2 triple only...
3,4,5 is a triple, too!
but, its area not equal its perimeter...
Yes, good enough:-)
thanks...
you can have an easier algebra by eliminating z from x^2+y^2=z^2 and xy/2 = x + y +z leads to xy -4x -4y +8 = 0 -> (x-4)(y-4) = 8 etc.
just combine of (x-4)(y-4) = 8, and we will get 2 triple only are : (x,y,z) = 5,12,13 and 6,8,10 but yours easier than me :)

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