Definition

Noun: A triangle in which all three sides have different lengths. Consequently, all three interior angles are also different in measure. It is one of the three main classifications of triangles based on side lengths, alongside equilateral and isosceles triangles.

Usage

The term is used in geometry to describe and classify a specific type of triangular shape. * The architect used a scalene triangle as the base shape for the modern facade. * To solve the problem, we first must determine if the triangle is equilateral, isosceles, or scalene. * A right triangle can also be a scalene triangle if its three sides are all of different lengths.

Advanced Usage

• Mathematical Properties: In a scalene triangle, no angles are equal, and no sides are congruent. The law of cosines is often necessary to solve for unknown sides or angles, as simpler trigonometric ratios that rely on symmetry do not apply.
• "Scalene" as an Adjective: The word "scalene" can be used adjectivally to describe the triangle.
  • We studied the properties of scalene triangles.

Variants and Related Words

• Scalene (adjective): Describing a triangle with no equal sides.
  • The plot of land was an irregular, scalene shape.
• Isosceles Triangle (noun): A triangle with at least two sides of equal length.
• Equilateral Triangle (noun): A triangle with all three sides of equal length.

Synonyms

• Unequal-sided triangle (descriptive phrase, less common)

Antonyms

• Equilateral triangle
• Isosceles triangle

Noun

1. a triangle with no two sides of equal length