Let def be an equilateral triangle with side length 3 At random, a point g is chosen inside the triangle. Compute the probability that the length dg is less than or equal to 1
also
A stick has a length of 5 units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are shorter than 3 units?
and
Right triangle XYZ has legs of length XY = 12 and YZ 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 12?
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