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}

1 solution

Michael Mendrin
May 27, 2014

Eh, all of them are true, in fact. You should have specified which coefficient is the minimum required. This one is the smallest coefficient.