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Pythagorean Chain (Posted on 2006-03-20) Difficulty: 3 of 5
Take a right triangle with integer sides A, B, & C.
(C need not be the hypotenuse.)

To side C attach another right triangle with integer sides C, D & E.

On this new triangle attach another right triangle to either side D or E. Continue the process of attaching a new right triangle to the previous; creating a chain of right triangles.

Three further rules:
1. No side length may be repeated.
2. No triangles may overlap.
3. No side may have length over 10000.

How many triangles can you make in this chain?

See The Solution Submitted by Jer    
Rating: 3.5000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughts10000 is monstrousDej Mar2006-03-21 19:15:37
re(2): Is 10000 too big? Is 1000 too big?Jer2006-03-21 13:16:29
Some Thoughtsre: Is 10000 too big?Charlie2006-03-21 10:47:38
re: Is 10000 too big?Charlie2006-03-21 09:17:16
re: Is 10000 too big?tomarken2006-03-21 08:58:35
re: Is 10000 too big?Charlie2006-03-21 08:57:20
Is 10000 too big?Jer2006-03-21 07:42:36
Some Thoughtsre(3): Solution, perhaps?Dej Mar2006-03-20 21:56:07
Some Thoughtscomputer exploration --- but ...Charlie2006-03-20 21:54:20
Some ThoughtsNew Lower LimitSteve Herman2006-03-20 18:17:44
re(2): Ideas...tomarken2006-03-20 16:52:12
No SubjectCharlie2006-03-20 16:15:15
re: Ideas...Rollercoaster2006-03-20 15:55:00
Some ThoughtsIdeas...tomarken2006-03-20 15:37:29
Some ThoughtsFivesRollercoaster2006-03-20 14:35:54
Some Thoughtsre(2): Solution, perhaps?tomarken2006-03-20 13:39:40
re: Solution, perhaps?Charlie2006-03-20 13:18:58
SolutionSolution, perhaps?J. Lindert2006-03-20 12:49:59
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