In what type of triangle are all sides of different lengths?

In what type of triangle are all sides of different lengths?

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

Answer: (C)

A triangle in which all sides are of different lengths is classified as a scalene triangle. This means that no two sides are equal, resulting in all three angles being different from one another as well. The defining feature of scalene triangles is precisely this lack of congruent sides, which sets them apart from equilateral triangles where all sides are equal, and isosceles triangles, which have exactly two equal-length sides. Right triangles are defined by one angle measuring 90 degrees and may or may not have equal sides, but they are not specifically defined by the lengths of their sides. Therefore, the correct classification for a triangle with all sides of different lengths is indeed the scalene triangle.

A triangle in which all sides are of different lengths is classified as a scalene triangle. This means that no two sides are equal, resulting in all three angles being different from one another as well. The defining feature of scalene triangles is precisely this lack of congruent sides, which sets them apart from equilateral triangles where all sides are equal, and isosceles triangles, which have exactly two equal-length sides. Right triangles are defined by one angle measuring 90 degrees and may or may not have equal sides, but they are not specifically defined by the lengths of their sides. Therefore, the correct classification for a triangle with all sides of different lengths is indeed the scalene triangle.