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they can be, depending on the information that you are given. If you know lengths of sides, then YES.
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A triangle is acute if it is less than 90 degrees. It is obtuse if more than 90 degrees
If you know the lengths of 2 sides and the included angle then use: Area of a triangle = 1/2*a*b*sinC
If you only know the hypotenuse, you can't tell the leg lengths. There are an infinite number of possibilities. The only thing you know for sure is that the sum of their squares is 1,024. If you had one other piece of information ... the length of one leg or the size of one acute angle ... then you'd know or could calculate all 3 sides and 3 angles.