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What type of triangle has no sides of equal length?

  1. Isosceles triangle

  2. Equilateral triangle

  3. Scalene triangle

  4. Right triangle

The correct answer is: Scalene triangle

A triangle that has no sides of equal length is classified as a scalene triangle. In a scalene triangle, each side has a different length, and as a result, all three angles are also different. This distinguishes scalene triangles from isosceles triangles, which have at least two equal sides, and equilateral triangles, where all three sides are of equal length. While a right triangle describes a triangle with one angle measuring exactly 90 degrees, it can also be scalene if its sides are of different lengths. However, the defining characteristic of a scalene triangle is the absence of equal sides, which is why it is the correct identification for a triangle with no sides of equal length. Understanding these classifications helps in recognizing the properties of different types of triangles in geometry.