Multiple methods would work

Geometry Level 4

Through the point \((\alpha,\beta)\), where \(\alpha \beta > 0\), the straight line \(\dfrac{x}{a} + \dfrac{y}{b} = 1\) is drawn so as to form with the coordinate axes a triangle of area \(S\). If \(a,b > 0\) is the least value of \(S\) is:

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