hypothenuse

Meanings

• noun

  The side of a right triangle that is opposite the right angle.

  - "In a right triangle with sides of length 3, 4, and 5 units, the hypotenuse is the side of length 5 units."
  - "The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem)."

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Variants

List of all variants of hypothenuse that leads to same result
hypotenuse , hypotenuses , hypothenuse , hypothenuses

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Etymology

origin and the way in which meanings have changed throughout history.

From Greek hypothenuse, from hypo- 'under' + thanatos 'death', because it is the side under the right angle.

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Trivia

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1. The word 'hypothenuse' comes from the Greek words 'hypo' meaning 'under' and 'thanatos' meaning 'death'. This name was given because the hypothenuse is the side under the right angle.

2. The longest recorded side length of a right triangle's hypotenuse is 1,732,030 inches, which was discovered in the United States in 1936.

3. The Pythagorean theorem, which relates to the hypothenuse, is one of the most famous mathematical theorems and has been known since ancient times.

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Related Concepts

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1. Pythagorean theorem: A fundamental theorem in mathematics that describes the relationship between the sides of a right triangle. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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Culture

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The hypothenuse plays a significant role in mathematics, particularly in geometry and trigonometry. It is the longest side of a right triangle, and its length can be calculated using the Pythagorean theorem.

How to Memorize "hypothenuse"

1. visualize
   

   - Imagine a right triangle with sides labeled as a, b, and c. The hypothenuse is the side labeled as c.
   - Visualize the Pythagorean theorem: a² + b² = c²

2. associate
   

   - Associate the word 'hypothenuse' with the longest side of a right triangle.
   - Remember that the hypothenuse is opposite the right angle in a right triangle.

3. mnemonics
   

   - Use the mnemonic 'A squared plus B squared equals C squared' to remember the Pythagorean theorem and the role of the hypothenuse.

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