A triangle has, at most, one obtuse angle. Which is to say that any triangle has either two acute angles and one obtuse angle or three acute angles. The statement "Triangle ABC has an acute angle" is always true whether or not the triangle is obtuse. You cannot draw a conclusion about the classification of the triangle as to whether it is acute or obtuse from this statement. You can, if you wish, draw the utterly trivial conclusion that the triangle has at least one more acute angle. There are many other trivial conclusions that could be drawn, but you cannot do anything but continue to describe triangle ABC in the broadest, most general, terms.
John
My calculator said it, I believe it, that settles it
