Question 656360: Hi! I couldn't find the right category for my question, so I hope this is alright.
I'm learning about Deductive Reasoning. The instructions are:
If possible, use the Law of Detachment to make a conclusion. If it is not possible to make a conclusion, tell why.
If a triangle has one obtuse angle, then it is an obtuse triangle.
Triangle ABC has an acute angle.
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
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
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website! If a triangle has one obtuse angle, then it is an obtuse triangle.
That is true because the definition of an obtuse triangle is a
triangle with an obtuse angles.
No conclusion can be made from
Triangle ABC has an acute angle
because every triangle has at least two acute angles.
Edwin
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