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It depends on the position of the 'leg' compared to the known angle.
If the 'leg' makes up one of the two sides of the angle, then the other side of the angle is the hypotenuse.
In this case the 'leg' would be referred to as the 'adjacent' side.
The side the doesn't form part of the angle is referred to as the 'opposite' side.
So using the trig. functions.
Sin(angle) = opposite / hypotenuse.
Then algebraically rearranging
hypotenuse = opposite / Sin(angle).
Similarly for 'Cos'.
Cos(angle) = adjacent/ hypotenuse
Hence
Hypotenuse = adjacent / Cos(angle)
So as an example
If the leg/opposite is 2 units. and the angle 30 degrees.
Then
hypotenuse = 2 / Sin(30).
On you calculator you should be find the Sin( 30) = 1/2 = 0.5
Substitute in
hypotenuse = 2 / 1/2 ( That is '2' divided by '1/2'), (Division of fractions).
hypotenuse = 2 X 2/1 = 4/1 = 4 units.
NB When using your calculator to find 'Sin' , 'Cos', and 'Tan' of angles, you will read out some 'horrible' decimal numbers.
NNB Do NOT use the TAN(gent) function to find hypotenuse. It is NOT part of the Tan ratio.
Here is an 'aide memoire' for the Trig . functions.
SOH , CAH, TOA. ( Said as 'soccatoa').
SOH = Sin(angle) = opposite/ hypotenuse = o/h
CAH = Cos(angle) = adjacent/hypotenuse = a/h
TOA = Tan(Angle) = opposite/adjacent = o/a
What else can I help you with?
How do you solve a 30-60-90 degree?
To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.
How do you find another leg in Pythagorean theorem with the hypotenuse given?
The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.
Find the hypotenuse of a right triangle if one leg is 8 and the other leg is 15?
The hypotenuse is the square root of (82 +152) = 17.
What is the hypotenuse leg theorem?
If two right triangles have (hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other) then the triangles are congruent.
How are side angle side triangles and Hypotenuse leg alike?
"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.
How do you solve a 30-60-90 degree?
To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.
How do you find another leg in Pythagorean theorem with the hypotenuse given?
The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.
If the shortest leg of a 30 degree 60 degree 90 degree triangle has length 7 the length of the hypotenuse is?
In general call the shortest side a and remember this is always the side opposite the 30 degree angle. Then the other leg/side has length a(square root 3) and the hypotenuse has length 2a.So in the case of a=7, the hypotenuse has length 14.
Find the hypotenuse of a right triangle if one leg is 8 and the other leg is 15?
The hypotenuse is the square root of (82 +152) = 17.
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.
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
What is the length of x if one leg is 13 and the other leg is 45 degree?
If it's a right angle triangle then the other leg will also be 13 units in length and use Pythagoras' theorem if you need to find the length of the hypotenuse.
What is Hypotenuse Leg?
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is the hypotenuse leg theorem?
If two right triangles have (hypotenuse and a leg of one) = (hypotenuse and the corresponding leg of the other) then the triangles are congruent.
How do you find out a ninety degree angle without a protractor?
Use a "three four five" triangle. Having one leg measure exactly three inches, the other leg exactly four inches, and the hypotenuse measure exactly five inches will yield a ninety degree angle. If you are drawing out the triangle, it may be easier to measure a three inch line using a straightedge and then use a compass to find the point of intersection for the other leg and the hypotenuse.
What is the ratio of the short leg to the hypotenuse in a right triangle 30 60 90?
In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2. The short leg, which is opposite the 30-degree angle, is half the length of the hypotenuse. Therefore, the ratio of the short leg to the hypotenuse is 1:2.
What is the hypotenuse leg therom?
If two right triangles have the hypotenuse and leg of one equal respectively to the hypotenuse and leg of the other, then the triangles are congruent.
