hypotenuse
C2Pronunciation
UK
- /haɪpˈɒtənjˌuːs/
US
- /haɪˈpɑtənjus/noun
- /haɪˈpɑtənus/noun
Description
- Longest side of a right triangle
- Side opposite the right angle
Imagine building a ramp: that sloping side is like the hypotenuse. It is always the longest side in a right triangle, the kind of triangle that has one 90-degree angle. It also always sits opposite that right angle. You can picture a ladder leaning against a wall: the ladder is the slanted side across from the corner where the wall meets the ground.
The hypotenuse is a basic idea in geometry that belongs to right triangles, which are triangles with one angle measuring exactly 90 degrees. It is the longest side of the triangle, and it is always opposite the right angle.
Think of a simple scene: a ladder leaning against a wall. The wall, the ground, and the ladder form a right triangle. The ladder is the hypotenuse because it makes the slanted side across from the corner where the wall meets the ground.
Its length can be found with the Pythagorean theorem: a² + b² = c², where "a" and "b" are the other two sides and "c" is the longest side. This idea is used in math, building, surveying, navigation, and many other real-world situations.
The word comes from Greek and suggests something "stretching under." So when you see a right triangle, look for the side across from the 90-degree angle: that is the hypotenuse, the longest side and one of the most important parts of the shape.
Examples
- 1
Geometry
In a right triangle, the hypotenuse is opposite the right angle.
- 2
Calculation
Once you know the lengths of the other two sides, you can calculate the hypotenuse.
- 3
Math test
On the test, we had to identify the hypotenuse in several different triangles.
Forms and spellings
2 forms open this card.
Main spelling
- hypotenusenoun
Forms
- hypotenusespluralnoun