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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


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


Is a hypotenuse short?

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


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)


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.


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


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

Using the cosine ratio: 2*cos(60) = 1 Answer: 1 foot


What is a rule for the 45-45-90 right triangle?

There is no single rule. It is a right angled isosceles triangle. Its long side (hypotenuse) is sqrt(2) times the short sides.


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)


What is a sine ratio?

The Sine ratio is Sine(angle) = opposite side / hypotenuse side. This is written in 'short-hand' as Sin(angle) = o / h Similarly the cosine ratio is Cosine(angle) = adjacent side / hypotenuse side. Cos(angle) = a/h Similarly the tangent ratio is Tangent(angle) = opposite side /adjacent side. Tan(angle) = o/a NB THe sides refer to the sides of a right-angled triangle. NNB The angle referred to is NOT the right angle, but a selected angle from the other two angles.


Find the missing length for a right triangle where the short side is 9 cm and the hypotenuse is 30cm?

The length of the other side is: 28.6 cm


Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?

A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x