the triangle form with 2 vertices and the center of the hexagon is equilateral triangle, so <1 and <3 = 60 degrees, and the height of triangle bisect the angle at the center of the hexagon, thus <2 = 30 degrees.

25. the area of the grid is 7*10= 70, the area of the triangle is 3*6/2 = 9

the probability is then 9/70

May 7th, 2015

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