What type of triangle includes sides of different lengths and angles that are also different?

A triangle with sides of different lengths and angles that are also different is classified as a scalene triangle. In a scalene triangle, no two sides are equal, which directly implies that the angles opposite those sides are also distinct. This characteristic of having all sides and angles different is fundamental to the definition of a scalene triangle.

In contrast, the other types of triangles have specific properties that limit the equality of their sides and angles. An equilateral triangle has all sides the same length and all angles equal, usually measuring 60 degrees each. An isosceles triangle features at least two sides that are the same length, which means it necessarily has at least two equal angles. A right triangle is defined primarily by having one angle that measures 90 degrees, but the sides can also be of different lengths, meaning it could potentially be scalene or isosceles depending on the other two sides.

Thus, the defining characteristics of a scalene triangle align perfectly with the question, making it the correct answer.