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Given a triangle whose three sides are consecutive integer values, and the area of which is divisible by 20, find the smallest possible side for which these conditions hold true: two sides are odd numbers at least one side is a prime number. The added condition to my original gets into some cool number theory (if you go that route)-1 points
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While our collective brain trust ponders the nature of triangles defined by three uniformly random points chosen inside a circle, specifically the mode of their areas, we ask another question. Recalling that the mean and median areal coverage of its circle's area are about 7.4% and 5.4%, what is the probability that a random triangle covers its circle's center?-1 points