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estudier
Group Title
Find all Pythagorean triples with 3 sides in in arithmetic progression?
 one year ago
 one year ago
estudier Group Title
Find all Pythagorean triples with 3 sides in in arithmetic progression?
 one year ago
 one year ago

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Cheese3.1416 Group TitleBest ResponseYou've already chosen the best response.0
I know what a Pythagorean triple is, but what do you mean by one having three sides?
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Right triangle with Pythagorean triple is a Pythagorean triangle
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Think of it as a bit of a hint....
 one year ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.1
3,4,5 the basic thing!! let me think about the rest
 one year ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.1
Ofcourse by 3,4,5 I also mean all such triplets..6,8,10 ; 9,12,15 etc
 one year ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.1
I think there are no more except the 345 forms
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Thinking is good, a proof would be better...:)
 one year ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.1
(a+d)^2 = a^2 + (ad)^2 Solving, 4d = a Putting different values of d, we get different values of a..which are all multiples of 4. ad are respective multiples of 3 a+d are respective multples of 5
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
That will do....
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
x^2 + (x+d)^2 = (x+2d)^2 > x^2 2xd 3d^2 = 0 > (x3d)(x+d) = 0 etc.....
 one year ago
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