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There's no such thing as the "length of a 30-60-90".

The ratios of the lengths of the legs of such a triangle to the length

of the hypotenuse are

1/2 and 1/2(sqrt(3).

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Q: Which of the following could be the ratio of the length of a 30-60-90 to the length of its hypotenuse?
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What could be a ratio of the length of the longer-leg of a 30-60-90 triangle to the length of its hypotenuse?

In such a triangle, the sides will always be in the ratio, 1, 2 (hypotenuse) and sqrt(3) So the ratio you want is sqrt(3)/2


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

2 Square Root 3 And 4


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

1/2 sqrt(3) = 0.866 (rounded)


How do you find the other sides when the hypotenuse of a right triangle is given?

If all you're given is the hypotenuse, then you can't figure out any more information. If you had the length of one more side you could use Pythagoras's Theorem a2+ b2= c2to find the other side, or if you were given an angle other than the right angle, you could use SOH CAH TOA to calculate the length of another side. With just the hypotenuse, nothing more can be found.


Could 1 2 and the square root of 3 be the sides of a right triangle?

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How do you find Missing side of a right angle?

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A right triangle has a hypotenuse of 10 cm and one leg that measures What is the length of the other leg?

Without knowing the measurement of one of its legs it's impossible to work out using Pythagoras' theorem. So from an experienced guess the two legs could be 8 cm and 6 cm with an hypotenuse of 10 cm.


Can you find both sides of a triangle if only the hypotenuse is given?

No. The hypotenuse is the side of a right triangle that is not adjacent to the right angle. The Pythagorean theorem says that a2+b2=h2 where h is the length of the hypotenuse and a and b are the lengths of the other sides. Let's say the hypotnuse is 3, then a2+b2=9 a and b could be the 1 and the square root of 8 or the square root of 2 and the square root of 7 or the square root of 3 and the square root of 6. In fact, there are an infinite number of combinations of lengths that a and b could be.


Is theta similar to 'x'?

it depends...theta:theta is usually the letter given to any angle in the triangle (the letter theta is from the greek alphabet). usually in trigonometry you would use it when using SOHCAHTOA (sin=opposite/hypotenuse; cos=adjacent/hypotenuse; tan=opposite/adjacent) e.g. the sun is at an angle of 30°. if the shadow's length is 40m, find the length of the flagpole.tan30=h/40tanθ=opp/adj40xtan30=hh=23.09m-'opposite' (opp)is the opposite side from the angle you are trying to find out-'adjacent' (adj)is the side next to the angle you are trying to find out-'hypotenuse' (hyp)is also next to the angle you are trying to find out, but it is also opposite the right angle and it is the longest sidex:'x' is usually used to represent a length (either the base, height or hypotenuse). using SOHCAHTOA it would be either the opposite, adjacent or hypotenuse. using the example above x could substitute hthe difference is that theta is used for the angles and x is for the other measurements(length or distance). i don't think that there similar but thats just me...


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

Assuming that 30-60-90 refers to the angles (in degrees), the ratio of the longer leg to the hypotenuse would be 1:cosine(30) = 1:sqrt(3)/2 or 2:sqrt(3)