acute-angled triangle

Thân thiện

An acute-angled triangle is drawn on the chalkboard.

Definition

Noun: A triangle in which all three interior angles measure less than 90 degrees. This geometric shape is characterized by having no right (90-degree) or obtuse (greater than 90-degree) angles.

Usage

The term is used in geometry to classify a specific type of triangle based on the measures of its angles. It is a precise, descriptive term. * An acute-angled triangle can be equilateral, isosceles, or scalene, as long as all angles are acute. * To determine if a triangle is an acute-angled triangle, you must measure each of its interior angles.

Advanced Usage

• Mathematical Property: In an acute-angled triangle, the square of the length of any side is less than the sum of the squares of the lengths of the other two sides. This is related to the law of cosines.
  • For any side 'c' of an acute-angled triangle with opposite angle C, the condition c² < a² + b² holds true.

Variants and Related Words

• Acute Triangle: A more common and concise synonym for "acute-angled triangle."
• Obtuse-angled Triangle: A triangle with one interior angle greater than 90 degrees.
• Right-angled Triangle: A triangle with one interior angle equal to 90 degrees.

Synonyms

• Acute triangle

Antonyms

• Obtuse triangle (obtuse-angled triangle)
• Right triangle (right-angled triangle)

Học thuật

Noun

1. a triangle whose interior angles are all acute

Từ đồng nghĩa

• acute triangle