# Triangles and Inequalities I

Geometry Level pending

A Straight Line through the vertex $$P$$ of a triangle $$PQR$$ intersects the side $$QR$$ at the point $$S$$ and the circumcircle of the triangle $$PQR$$ at the point $$T$$.If $$S$$ is not the centre of the circumcircle then..

$$\frac { 1 }{ PS } +\frac { 1 }{ ST } >\frac { \eta }{ QR }$$

Find $$\eta$$..

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