Yes.
eg The triangle with sides 7 cm, 8 cm, 13 cm is both obtuse (angle opposite side of 13 cm is 120o) and scalene (none of the sides are equal).
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Yes. Scalene simply means that a triangle's sides are all different lengths. Obtuse means that a triangle has an obtuse angle. Therefore, you can have an obtuse scalene triangle.
It is impossible to have an obtuse AND scalene triangle, because in order for it to be obtuse, it must have one obtuse angle but, in order for a triangle to be scalene it must have two equivalent sides. So, in the end if you have an obtuse and scalene triangle, it is not longer a triangle.
Sometimes, it can or can not be a obtuse triangle.
Yes. A scalene triangle is one in which all sides and angles are different. An obtuse triangle is one in which the largest angle is greater than 90o. An example of an obtuse scalene triangle would be one with angles 100o, 50o & 30o.