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.
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Draw a triangle with one obtuse angle (more than 90 degrees), where none of the side lengths or angles are equal to each other.
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.
A triangle can only have 1 right angle or 1 obtuse angle in it because its 3 interior angles add up to 180 degrees
A scalene triangle has 3 unequal acute interior angles An obtuse triangle has 1 obtuse and 2 unequal interior angles