Yes, a right triangle can be scalene. A scalene triangle is defined as a triangle where all three sides have different lengths, and all three angles are of different measures. A right triangle is a triangle that has one angle measuring exactly 90 degrees.
In a right triangle, the side opposite the right angle is called the hypotenuse, and it is the longest side. The other two sides are called the legs. For a right triangle to be scalene, both legs and the hypotenuse must all be of different lengths. This means that none of the angles, except for the right angle, can be equal.
For example, consider a right triangle with sides of lengths 3, 4, and 5 units. Here, the sides are all of different lengths, and the angles are 90 degrees, approximately 53.13 degrees, and approximately 36.87 degrees. This triangle is both right-angled and scalene.
In summary, a right triangle can indeed be scalene as long as all three sides have different lengths and all three angles are of different measures, with one of them being 90 degrees.