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What type of triangle has all three sides of equal length?

  1. Scalene triangle

  2. Equilateral triangle

  3. Isosceles triangle

  4. Obtuse triangle

The correct answer is: Equilateral triangle

The correct answer is an equilateral triangle. This type of triangle is defined by having all three sides that are exactly the same length. As a result, all three internal angles are also equal, each measuring 60 degrees. This property of equal sides and angles confers a sense of symmetry, making equilateral triangles a fundamental shape in geometry. The other types of triangles mentioned, such as scalene, isosceles, and obtuse triangles, do not share this characteristic of equal side lengths. A scalene triangle has three sides of different lengths, and an isosceles triangle has two sides that are the same length, but the third side is different. An obtuse triangle, on the other hand, is distinguished by having one angle that is greater than 90 degrees, regardless of the lengths of its sides.