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 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)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Is 10000 too big? Is 1000 too big? | Comment 17 of 18 |
(In reply to re: Is 10000 too big? by Charlie)

Just kidding!
No wonder I couldn't do much with this.

 Posted by Jer on 2006-03-21 13:16:29

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