Which term describes a triangle with all sides of different lengths?

Which term describes a triangle with all sides of different lengths?

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

Answer: (C)

A triangle with all sides of different lengths is referred to as a scalene triangle. This classification is based solely on the side lengths, distinguishing it from other types of triangles. In a scalene triangle, since all three sides have different measurements, there will also be no equal angles among the triangle’s angles, making it unique in terms of its dimensions. This characteristic sets it apart from an equilateral triangle, where all sides are equal, and an isosceles triangle, which has at least two sides of equal length. The right triangle classification concerns the angles rather than the lengths of the sides. A right triangle has one angle that measures exactly 90 degrees, but it can be scalene or isosceles depending on the lengths of its sides. Therefore, the definition centered around differing side lengths clearly identifies scalene as the correct term for a triangle where all sides are different.

A triangle with all sides of different lengths is referred to as a scalene triangle. This classification is based solely on the side lengths, distinguishing it from other types of triangles.

In a scalene triangle, since all three sides have different measurements, there will also be no equal angles among the triangle’s angles, making it unique in terms of its dimensions. This characteristic sets it apart from an equilateral triangle, where all sides are equal, and an isosceles triangle, which has at least two sides of equal length.

The right triangle classification concerns the angles rather than the lengths of the sides. A right triangle has one angle that measures exactly 90 degrees, but it can be scalene or isosceles depending on the lengths of its sides. Therefore, the definition centered around differing side lengths clearly identifies scalene as the correct term for a triangle where all sides are different.