# 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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