Minimum Perimeter

Geometry Level 2

Let \(ABC\) be an equilateral triangle with perimeter \(24 \text{ cm}\). Let \(M\) be the midpoint of \(AC\). Let \(L\) and \(N\) be points on \(AB\) and \(BC\) respectively such that the perimeter of triangle \(LMN\) is minimum.

Find this minimum perimeter.

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