Triangle inequality

Geometry Level 4

Find the smallest number \(N\) for which the following inequality holds in every triangle.

\({ h }_{ a }{ h }_{ b }{ h }_{ c }\le N\cdot abc\)

Approximate the value to two decimal places.


\({ h }_{ a }\) is the height that falls on the side a. The same is with \({ h }_{ b }\) and \({ h }_{ c }\)

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