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Problems from Another Time


Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?
In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?
Three hundred pigs are to be prepared for a feast.
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?