Which type of triangle has all sides of equal length?

The type of triangle that has all sides of equal length is an equilateral triangle. In this triangle, not only are all three sides the same, but all three interior angles are also equal, each measuring 60 degrees. This inherent symmetry makes equilateral triangles unique among triangular shapes.

This property of equal side lengths leads to additional characteristics as well, such as equal angles, which is fundamental in various applications within mathematics and geometry. Understanding the definition of an equilateral triangle is essential for solving problems that involve triangles, especially in early childhood education where basic shapes and their properties are often taught.

In contrast, a scalene triangle features sides of different lengths, while an isosceles triangle has two sides of equal length and one side that is different. A right triangle is characterized by one angle measuring 90 degrees, regardless of the lengths of its sides. These distinctions clarify why the equilateral triangle is the correct answer, as only it meets the specific criterion of having all sides equal in length.