Hypotenuse is an English word with synonyms like flank. Below you'll find 10+ example sentences showing how it's used in practice.
Hypotenuse in a sentence
Hypotenuse meaning
The side of a right triangle opposite the right angle.
Synonyms of Hypotenuse
Using Hypotenuse
- The main meaning on this page is: The side of a right triangle opposite the right angle.
- Useful related words include: flank.
- In the example corpus, hypotenuse often appears in combinations such as: the hypotenuse, hypotenuse and, hypotenuse of.
Context around Hypotenuse
- Average sentence length in these examples: 28.2 words
- Position in the sentence: 5 start, 13 middle, 2 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Hypotenuse
- In this selection, "hypotenuse" usually appears in the middle of the sentence. The average example has 28.2 words, and this corpus slice is mostly made up of statements.
- Around the word, non, angle, side, leg and arccos stand out and add context to how "hypotenuse" is used.
- Recognizable usage signals include between the hypotenuse and the and of the hypotenuse. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "hypotenuse" sits close to words such as aapi, aarey and aberdare, which helps place it inside the broader word index.
Example types with hypotenuse
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
If the hypotenuse is twice as long, so are the sides. (11 words)
The Hypotenuse-Leg Theorem is a particular case of this criterion. (11 words)
A block in its slot, pivoted to the hypotenuse block positions it. (12 words)
Altitudes Altitude of a right triangle If an altitude is drawn from the vertex with the right angle to the hypotenuse then the triangle is divided into two smaller triangles which are both similar to the original and therefore similar to each other. (43 words)
Arcsin can be used to calculate an angle from the length of the opposite side and the length of the hypotenuse. : Arccos can be used to calculate an angle from the length of the adjacent side and the length of the hypotenuse. (42 words)
Where the angle is a right angle, also known as the Hypotenuse-Leg (HL) postulate or the Right-angle-Hypotenuse-Side (RHS) condition, the third side can be calculated using the Pythagorean Theorem thus allowing the SSS postulate to be applied. (41 words)
Example sentences (20)
Also, the center of the circle that circumscribes a right triangle is the midpoint of the hypotenuse and its radius is one half the length of the hypotenuse.
Arcsin can be used to calculate an angle from the length of the opposite side and the length of the hypotenuse. : Arccos can be used to calculate an angle from the length of the adjacent side and the length of the hypotenuse.
Inequalities In any right triangle the diameter of the incircle is less than half the hypotenuse, and more strongly it is less than or equal to the hypotenuse times Posamentier, Alfred S., and Lehmann, Ingmar.
Medians The following formulas hold for the medians of a right triangle: : The median on the hypotenuse of a right triangle divides the triangle into two isosceles triangles, because the median equals one-half the hypotenuse.
When it is the longer non-hypotenuse side and hypotenuse that differ by one, such as in : : then the complete solution is : which also shows that all odd numbers (greater than 1) appear in a primitive Pythagorean triple.
Where the angle is a right angle, also known as the Hypotenuse-Leg (HL) postulate or the Right-angle-Hypotenuse-Side (RHS) condition, the third side can be calculated using the Pythagorean Theorem thus allowing the SSS postulate to be applied.
A block in its slot, pivoted to the hypotenuse block positions it.
Altitudes Altitude of a right triangle If an altitude is drawn from the vertex with the right angle to the hypotenuse then the triangle is divided into two smaller triangles which are both similar to the original and therefore similar to each other.
At any distance along the adjacent side, a line perpendicular to it intersects the hypotenuse at a particular point.
At the other end of the slide (the angle, in trig, terms), a block on a pin fixed to the frame defined the vertex between the hypotenuse and the adjacent side.
If the hypotenuse is twice as long, so are the sides.
Imagining that this line splits the hypotenuse into two segments, the geometric mean of these segment lengths is the length of the altitude.
In many cases, this variable changed sign; the hypotenuse could coincide with the adjacent side (a zero input), or move beyond the adjacent side, representing a sign change.
The angle θ is the angle between the hypotenuse and the adjacent line – the angle at A in the accompanying diagram.
The converse states that if a right triangle is inscribed in a circle then the hypotenuse will be a diameter of the circle.
The Hypotenuse-Leg Theorem is a particular case of this criterion.
The latter slides along the hypotenuse, so the two blocks are positioned at a distance from the (trig.) adjacent side by an amount proportional to the product.
The side opposite the right angle is called the hypotenuse (side c in the figure).
The slant range (1) is the hypotenuse of the triangle represented by the altitude of the aircraft and the distance between the radar antenna and the aircraft's ground track (point (3) on the earth directly below the aircraft).
The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number Definable real numbers are those that can be uniquely specified by a description.
Common combinations with hypotenuse
These word pairs occur most frequently in English texts:
- the hypotenuse 23×
- hypotenuse and 6×
- hypotenuse of 3×
- and hypotenuse 3×