# Minimise this!

Geometry Level 3

Let $$A,B$$ and $$C$$ denote the interior angles of a non-degenerate triangle, then what is the least value of ${ \sin }^{ 2 }\dfrac { A }{ 2 } +{ \sin }^{ 2 }\dfrac { B }{ 2 } +{ \sin }^{ 2 }\dfrac { C }{ 2 }?$

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