# Ratio of sides in a triangle

**Geometry**Level pending

Find the least positive real number \(\alpha \) with the following property: for each triangle, we can choose two of its sides, say \(a\) and \(b\), such that

\(\alpha >\frac { a }{ b } \ge 1\)

Find the least positive real number \(\alpha \) with the following property: for each triangle, we can choose two of its sides, say \(a\) and \(b\), such that

\(\alpha >\frac { a }{ b } \ge 1\)

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