anonymous
  • anonymous
Find all Pythagorean triples with 3 sides in in arithmetic progression?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I know what a Pythagorean triple is, but what do you mean by one having three sides?
anonymous
  • anonymous
Right triangle with Pythagorean triple is a Pythagorean triangle
anonymous
  • anonymous
Think of it as a bit of a hint....

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anonymous
  • anonymous
3,4,5 the basic thing!! let me think about the rest
anonymous
  • anonymous
Ofcourse by 3,4,5 I also mean all such triplets..6,8,10 ; 9,12,15 etc
anonymous
  • anonymous
I think there are no more except the 3-4-5 forms
anonymous
  • anonymous
Thinking is good, a proof would be better...:-)
anonymous
  • anonymous
Hint?
anonymous
  • anonymous
(a+d)^2 = a^2 + (a-d)^2 Solving, 4d = a Putting different values of d, we get different values of a..which are all multiples of 4. a-d are respective multiples of 3 a+d are respective multples of 5
anonymous
  • anonymous
That will do....
anonymous
  • anonymous
:-)
anonymous
  • anonymous
x^2 + (x+d)^2 = (x+2d)^2 -> x^2 -2xd -3d^2 = 0 -> (x-3d)(x+d) = 0 etc.....

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