It is utterly impossible to construct a triangle whose sides' sizes are expressed by 3 different Fibonacci numbers.
Prove it.
(In reply to
Proof by Daniel)
Two minor, albeit important adjustments:
1. Your " let the 3 sides be a,b,c with a<b<c" should be
"Let the 3 distinct numbers be a,b,c with a<b<c"
(sides in a triangle may be equal).
2. "
fibonnaci numbers" should be spelled with a capital F, i.e. Fibonnaci- he surely deserves it!
-
Edited on August 29, 2018, 3:31 am