A geometric inequality

Geometry Level 3

\(ABC\) is a triangle with area 1\(u^2\). Is \(M\) the product of the sum of the height`s and the sum of the sides of \(ABC\); its say, \(M=(h_1+h_2+h_3)\times(L_1+L_2+L_3)\)

Is \(M>12\)?

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