Problem 5 Portugal
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Prove that there exists a pair of side $a,b$ in triangle such that: \[\frac{\sqrt{5}-1}{2}< \frac{a}{b}< \frac{\sqrt{5}+1}{2}\]\
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )