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Triangle Inequality?

Geometry Level 3

If $A$ denotes the area of triangle and $S$ denotes its semi-perimeter then which of the following is true:

A

<=

\frac{S^2}{3\sqrt3}

A

<=

\frac{S^2}{4\sqrt3}

A

<=

\frac{2S^2}{3\sqrt3}

A

<=

\frac{S^2}{\sqrt3}

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by Ankush Tiwari

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