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.

(In reply to re: If not different by Eric)

It is true that the 5,5,6 altitude/median 4 triangle has the same area as the 5,5,8 altitude/median 3 triangle -- but the 5,5,6 triangle is not an obtuse triangle.

Posted by Dej Mar on 2006-05-06 06:13:02