What type of triangle has two sides of equal length?

What type of triangle has two sides of equal length?

• A. Scalene triangle
• B. Equilateral triangle
• C. Isosceles triangle
• D. Right triangle

Answer: (C)

A triangle that has two sides of equal length is classified as an isosceles triangle. This specific attribute is one of the defining characteristics of isosceles triangles, distinguishing them from other types. In an isosceles triangle, not only do two sides have the same length, but the angles opposite those sides are also equal, which is another important feature of this triangle type. In contrast, a scalene triangle has all three sides of different lengths, so it cannot have any equal sides. An equilateral triangle, while it does have equal sides, has all three sides of the same length, rather than just two. A right triangle is defined by having one angle that measures exactly 90 degrees and could potentially have two sides of equal length, but that is not a requirement for a right triangle. Therefore, the correct categorization of a triangle with two equal sides is that it is an isosceles triangle.

A triangle that has two sides of equal length is classified as an isosceles triangle. This specific attribute is one of the defining characteristics of isosceles triangles, distinguishing them from other types. In an isosceles triangle, not only do two sides have the same length, but the angles opposite those sides are also equal, which is another important feature of this triangle type.

In contrast, a scalene triangle has all three sides of different lengths, so it cannot have any equal sides. An equilateral triangle, while it does have equal sides, has all three sides of the same length, rather than just two. A right triangle is defined by having one angle that measures exactly 90 degrees and could potentially have two sides of equal length, but that is not a requirement for a right triangle. Therefore, the correct categorization of a triangle with two equal sides is that it is an isosceles triangle.