In what type of triangle are all sides equal in length?

In what type of triangle are all sides equal in length?

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

Answer: (C)

An equilateral triangle is defined as a triangle in which all three sides are equal in length. This characteristic also leads to all three angles being equal, each measuring 60 degrees. The symmetry in the equilateral triangle not only contributes to its aesthetic appeal but also simplifies calculations involving its properties. In contrast, a scalene triangle has no sides of equal length, an isosceles triangle has two sides of equal length, and a right triangle is characterized by one angle that measures 90 degrees, with no requirement for equal sides. Hence, the unique property of equal side lengths specifically identifies the triangle as equilateral.

An equilateral triangle is defined as a triangle in which all three sides are equal in length. This characteristic also leads to all three angles being equal, each measuring 60 degrees. The symmetry in the equilateral triangle not only contributes to its aesthetic appeal but also simplifies calculations involving its properties. In contrast, a scalene triangle has no sides of equal length, an isosceles triangle has two sides of equal length, and a right triangle is characterized by one angle that measures 90 degrees, with no requirement for equal sides. Hence, the unique property of equal side lengths specifically identifies the triangle as equilateral.