Posted by **abc Please help URGENT** on Saturday, May 4, 2013 at 3:02am.

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 9v3 can be expressed as ab where a and b are coprime positive integers. What is the value of a+b?