Rectangle edges equals a=2.9 and b=6.3. In adjacent rectangle edges randomly selected two points and straight line drawn through them. What is the probability that drawn triangle area is smaller than c=7.25.
I don't know how exactly the graph should look like. Appreciate any help, Thanks.
Call the random sides of the triangle X and Y. These are uniform random variables with uniform distributions on $[0,6.3]$ and $[0,2.9]$ resp. They are independent and their joint distribution is uniform on the rectangle $R=[0,6.3]*[0,2.9]$. Your condition is $XY/2\le 7.25$ That is $XY\le 14.5$. The probability you need is the ratio between the area under the hyperbola inside R and the area of R. This is an easy calculus exercise.