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right-angled triangle

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Right-angled triangle

Definition: A right-angled triangle is a type of triangle that has one angle measuring exactly 90 degrees. This angle is known as a "right angle."

Usage Instructions:
  • You can use the term "right-angled triangle" in mathematical contexts, particularly in geometry.
  • When discussing properties of triangles, you can mention right-angled triangles to explain concepts like the Pythagorean theorem.
Example:
  • "In a right-angled triangle, if one side is 3 units long and another side is 4 units long, the longest side, known as the hypotenuse, can be calculated using the Pythagorean theorem."
Advanced Usage:
  • In advanced mathematics, you might encounter the term "right-angled triangle" in discussions about trigonometric functions, such as sine, cosine, and tangent, which are often applied to the angles and sides of right-angled triangles.
Word Variants:
  • The word "triangle" can be modified to describe different types, such as:
    • Equilateral triangle (all sides and angles are equal)
    • Isosceles triangle (two sides are equal)
    • Scalene triangle (all sides and angles are different)
Different Meanings:
  • The term "right" in "right-angled triangle" refers to the right angle (90 degrees) and does not imply correctness or moral uprightness.
Synonyms:
  • Right-angled triangle is also known as:
    • Right triangle (a more common term used in everyday language)
Related Concepts:
  • Hypotenuse: The longest side of a right-angled triangle, opposite the right angle.
  • Adjacent side: The side next to the angle being considered (other than the hypotenuse).
  • Opposite side: The side opposite to the angle being considered.
Idioms and Phrasal Verbs:

While "right-angled triangle" does not have idioms or phrasal verbs directly associated with it, here are some related terms: - "Right on": An expression used to show agreement or approval. - "Get right to the point": To speak directly about the main issue without unnecessary details.

Summary:

A right-angled triangle is a triangle with one angle that is exactly 90 degrees.

Noun
  1. a triangle with one right angle

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