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What describes a scalene triangle?

  1. A triangle with three equal sides

  2. A triangle with two equal sides

  3. A triangle with one right angle

  4. A triangle with sides of different lengths and no two angles the same

The correct answer is: A triangle with sides of different lengths and no two angles the same

A scalene triangle is characterized by having all sides of different lengths, which means that no two sides are equal. This lack of equal sides also leads to the property that no two angles in a scalene triangle are the same. Each angle in a scalene triangle is unique, resulting from the varying lengths of its sides. The other choices describe different types of triangles: a triangle with three equal sides refers to an equilateral triangle, a triangle with two equal sides describes an isosceles triangle, and a triangle with one right angle is known as a right triangle. Thus, the distinguishing characteristics of a scalene triangle align perfectly with the attributes listed in the correct answer.