Find the smallest obtuse triangle such that its sides, the altitude to the obtuse angle, and the median to the largest side are all integers.

In case it arises, "smallest" refers to the area of the triangle.

I just noticed that nothing in there says that the those integers need to be different. So I would edit that in, or else a simple solution like 5,5,8 would work, with median and altitude of 3.

Posted by Gamer on 2006-05-05 20:00:50