All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Pythagorean Chain (Posted on 2006-03-20)
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)

 Subject Author Date 10000 is monstrous Dej Mar 2006-03-21 19:15:37 re(2): Is 10000 too big? Is 1000 too big? Jer 2006-03-21 13:16:29 re: Is 10000 too big? Charlie 2006-03-21 10:47:38 re: Is 10000 too big? Charlie 2006-03-21 09:17:16 re: Is 10000 too big? tomarken 2006-03-21 08:58:35 re: Is 10000 too big? Charlie 2006-03-21 08:57:20 Is 10000 too big? Jer 2006-03-21 07:42:36 re(3): Solution, perhaps? Dej Mar 2006-03-20 21:56:07 computer exploration --- but ... Charlie 2006-03-20 21:54:20 New Lower Limit Steve Herman 2006-03-20 18:17:44 re(2): Ideas... tomarken 2006-03-20 16:52:12 No Subject Charlie 2006-03-20 16:15:15 re: Ideas... Rollercoaster 2006-03-20 15:55:00 Ideas... tomarken 2006-03-20 15:37:29 Fives Rollercoaster 2006-03-20 14:35:54 re(2): Solution, perhaps? tomarken 2006-03-20 13:39:40 re: Solution, perhaps? Charlie 2006-03-20 13:18:58 Solution, perhaps? J. Lindert 2006-03-20 12:49:59

 Search: Search body:
Forums (0)