SOLUTION: Select four (4) consecutive Fibonacci numbers and use those four numbers to create a Pythagorean triple. NOTE: You cannot use 3, 5, 8 and 13. Verify your results using the Pythago

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Select four (4) consecutive Fibonacci numbers and use those four numbers to create a Pythagorean triple. NOTE: You cannot use 3, 5, 8 and 13. Verify your results using the Pythago      Log On

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Question 1175673: Select four (4) consecutive Fibonacci numbers and use those four numbers to create a Pythagorean triple. NOTE: You cannot use 3, 5, 8 and 13.
Verify your results using the Pythagorean theorem.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


The instruction to "create" a triple of three numbers using four other numbers is open to an infinite number of interpretations....

If you want help with a question, you must post it so it is clear what is to be done.


Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

Hello,

full solution of this problem requires a lot of writing,  so I will not do it.


Instead,  I will refer to this source

http://jwilson.coe.uga.edu/EMAT6680Fa2014/Gieseking/Final%20Project/Fibonacci%20Numbers.html


You will find there a lot of interesting information about Fibonacci numbers,  and,  in particular,
will find the answer to your current question.