Posted by **fweng** on Monday, April 29, 2013 at 12:02pm.

A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or equal to 9√3 can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

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