Minimum perimeter

Geometry Level 5

As shown, \(ABC\) is an equilateral triangle of side length 10. The points \(D, E\) and \(F\) on \(BC, AB\) and \(AC\) respectively with \(DB=2\). Let \(s= DE+EF+FD\). Find the minimum value of \(\lfloor 100s\rfloor\).

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