hypotenuse - Master This Word
Master this word with our 5-step learning method – Learn English in English
hypotenuse Word Meanings
- the longest side of a right triangle
- the side opposite the right angle in a right triangle
hypotenuse Example Sentences
Example sentences are the start of understanding. Don't rush to memorize. First feel how the word works in a sentence.
hypotenuse Phonetic & Pronunciation
UK
/haɪˈpɒtənjuːz/
US
/haɪˈpɑːtənjuːz/
hypotenuse Word Etymology
Root decomposition: hypo- (under) + -tenuse (to stretch). Historical origin: from Greek 'hypotennusa' (the base of a triangle) to Latin 'hypotenusa' to Old French, then English. Memory image: visualize a right triangle where the hypotenuse stretches under the sky like a long bridge connecting the two shorter sides.
Note 1: These definitions and etymologies are not standard dictionary definitions, but extended explanations provided to help with memorization and understanding of the actual application of words. Through this background information, we strive to make words more vivid and easier to understand, and help you remember their meanings in real life.
Note 2: LexiTalk designs the learning flow around the linguistics principle of “Comprehensible Input.” When learners encounter material that is slightly above their level but still understandable from context, the brain naturally absorbs the language. That’s why we keep every word inside authentic contexts, using examples and associations to help you understand it and use it flexibly.
Read the FAQ explanation of Comprehensible InputReal Context
Hypotenuse is the longest side of a right triangle, located opposite the 90-degree angle. It is always longer than either leg, no matter how big the triangle is. If the two legs are a and b, the hypotenuse c satisfies a^2 + b^2 = c^2. The word comes from Greek hypo- 'under' and tenuse from Latin via Old French, entering English. A vivid memory image: imagine a right triangle with the hypotenuse stretched like a long bridge across the sky, connecting the ends of the two shorter sides.
Usage Reminders
- Remember: the hypotenuse is opposite the right angle.
- Use Pythagoras: c^2 = a^2 + b^2.
- It is the longest side in any right triangle.
- In problems, treat the legs as the two shorter sides.
- Don’t confuse the hypotenuse with the legs.
Common Misconceptions
- The hypotenuse is one of the legs.
- The hypotenuse is the sum of the two legs.
- The hypotenuse touches all three vertices.
- The legs are always longer than the hypotenuse.
- Only right triangles have a hypotenuse.
Thinking Differences
Explain to an English speaker: The hypotenuse is the side opposite the right angle and the longest side in a right triangle; Pythagoras is the key.
Learning Tips
- Draw a right triangle and label the legs and hypotenuse.
- Practice identifying which side is opposite the right angle.
- memorize c^2 = a^2 + b^2 with simple numbers.
- Use real-world distance problems to see the hypotenuse in action.
- Quiz yourself by swapping legs and recomputing c.
5-Step Learning Method - Learn English in English
Step 1: Meaning
What is the definition of 'hypotenuse'?
A.A type of fruit
B.The longest side of a right triangle
C.A mathematical operation
D.An angle greater than 90 degrees
Step 2: Usage
Identify the sentence that uses 'hypotenuse' correctly.
A.The hypotenuse is a delicious dessert.
B.In this right triangle, the hypotenuse is the longest side.
C.The hypotenuse runs fast in the race.
D.I bought a new hypotenuse for my garden.
Step 3: Similar Words
Which word is most similar to 'hypotenuse'?
A.Apex
B.Base
C.Diagonal
D.Right angle
Step 4: Opposite Words
What is the opposite of 'hypotenuse'?
A.Triangle
B.Angle
C.Base
D.Vertex
Step 5: Mastery
Can you think of a real-life context that involves the concept of hypotenuse?
A.The building is approximately 10 feet tall.
B.If you have a right triangle, the longest side is the hypotenuse.
C.I used a ladder to reach the top shelf.
D.The area of the rectangle is 50 square units.
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