False. The basic Pythagorean triangle's sides are in the ratio 3:4:5.
The only non-scalene right-angled triangle which comes to mind is the isosceles with two 45o angles.
Law: Every right-angled triangle is scalene unless it contains an angle of 45o.
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A scalene triangle CAN also be a right triangle. For a triangle to be scalene, all 3 sides must be of different lengths. If you draw a triangle with a 90 degree right angle (ie. a right triangle) you will see that it's very easy for the sides to be unequal lenghts.
If you meant scalene triangle, then it may have a right angle. By definition, a scalene triangle is a triangle with no angle or side measures that are the same. For example, a 30,60,90 triangle is scalene.
A scalene triangle has no equal sides and no right angle.
They are:equilateralacute angled isoscelesacute angle scaleneright angled isoscelesright angle scaleneobtuse angled isoscelesobtuse angle scalene.
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.