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Is a hypotenuse short

Updated: 12/12/2022
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11y ago

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It may be of any length but it is always the longest side in a right-angled triangle.

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11y ago
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Q: Is a hypotenuse short
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What is the relationship between the short leg and the hypotenuse 30-60-90 triangle?

The short leg is equal to one-half of the hypotenuse. ( sin 30 = opposite/hypotenuse = short leg/hypotenuse = 1/2)


The hypotenuse of a 30-60 right triangle if the short leg is 2992?

The hypotenuse of a 30-60 right triangle if the short leg is 2992 is: 5984


How do you find lentgh of sides in a 30 60 90 triangle?

Short leg= hypotenuse/2 hypotenuse= short leg*2 long leg= short leg * the square root of 3


Is it possible for a triangle to have a short hypotenuse?

No because the hypotenuse is used to show which line is the longest in the triangle therefore it will always be the longest.


Why Hypotenuse is not called Adjacent?

When considering an angle in a right angled triangle, the adjacent is the short side next to the angle and the hypotenuse is the long one (which will be opposite the right angle)


What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?

In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5


What is the relationship between the two legs in a 30-60-90 triangle?

The longer leg is square root of 3 bigger than the short leg. That is because sin 30 = 1/2 = short/hypotenuse; cos 30 = long/hypotenuse = (sqrt 3)/2


What is the cos reciprocal?

The reciprocal of cosine is secant (short form: sec), which is the hypotenuse length divided by the adjacent length.


The hypotenuse of a 30 - 60 - 90 triangle measures 2 feet How long is the short leg of this triangle?

Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot


What are the lengths of the longer leg and the hypotenuse if the shorter leg is 10 on a 30-60-90 triangle?

The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.


What is the length of the hypotenuse of a right triangle that has legs with lenghts of 5 and 4?

It's 6,40312. 4²+5²= hypotenuse ² 16+25=hypotenuse ² 41=hypotenuse ² |√ 6,40312=hypotenuse


What is the length of the hypotenuse of a right triangle that has a base of 5 inches and a height 12 inches?

Hypotenuse^2 = base^2 + height^2, substitute the given values Hypotenuse^2 = 5^2 + 12^2 Hypotenuse^2 = 25 + 144 Hypotenuse^2 = 169 Hypotenuse = √169 Hypotenuse = 13 Thus, the hypotenuse is 13 inches.