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It's 1/2 of the length of the hypotenuse.

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13y ago

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A 30-60-90 triangle has a hypotenuse of length 44. What is the length of the side opposite the 30 degree angle?

I assume your 90 degree angle is on the right and the 30 degree angle is opposite that. ( degree mode ) sin theta = opposite/hypotenuse sin 30 degrees = opp./44 = 22


How do you find the sides of a 30 60 and 90 degree triangle?

you cannot determine the sides of a triangle by the angle measures alone because any triangle with different side lengths can have these angle measurements. However if you do know the length of any one of the sides, you can calculate the lengths of the other two sides.The shortest side is the one opposite the 30 degree angle.The hypotenuse (opposite the 90 degree angle) is always twice the length of the shortest side opposite the 30 degree angle.The side opposite the 60 degree angle is always the length of the side opposite the 30 degree angle times the square root of three (about 1.73205).


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.


What is the length of the side opposite the 30 degree angle?

It depends on the length of the other two sides which creates that angle. Not enough information was given. However, you can simply use the Cosine rule to find it if the other two lengths are known. a2=b2+c2- 2bccosA (A=30 and a is the length of the side opposite to 30 degree angle; b and c is the length of the sides which makes up the 30 degree angle)


Which set of values could be the side lengths of 30-60-90 triangle?

In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.


What are the true statements about a 30-60-90 triangle?

In a 30-60-90 triangle, the sides are in a consistent ratio: the length of the side opposite the 30-degree angle is half the length of the hypotenuse, while the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the side opposite the 30-degree angle. This means if the shortest side is ( x ), the hypotenuse is ( 2x ) and the longer leg is ( x\sqrt{3} ). The angles in a 30-60-90 triangle always measure 30 degrees, 60 degrees, and 90 degrees. This specific ratio allows for easy calculation of side lengths when one side is known.


The lentgh of the hypotenuse of a 30 -60 degree right triangle is 7.5 meters find the length of the opposite side of the 30 degree angle?

It is: 7.5*sin(30) = 3.75 meters


If the side opposite a 30 degree angle in a right triangle is 12.5 meters how long is the hypotenuse (Round the answer to the nearest tenth)?

In a right triangle with a 30-degree angle, the length of the side opposite the angle is half the length of the hypotenuse. Therefore, if the side opposite the 30-degree angle is 12.5 meters, the hypotenuse would be 12.5 meters × 2, which equals 25 meters. Rounding to the nearest tenth, the hypotenuse is 25.0 meters.


What are the 30-60-90 triangles?

In a right triangle where two other angles are 30 and 60 degrees, the side opposite to the 30 degree angle has a length that equals the half of the hypotenuse length.


What is the length of the side opposite the 60 angle if the hypotenuse is 17?

The length of the side opposite the 60° angle is about 14.72(sin 60°) = 0.866The length of the side opposite the 30° angle is 8.5(sin 30°) = 0.5


What name is given to the ratio of the length of the side opposite 30 degree to the length of hypotenuse?

There is no particular name for the trigonometric ratio which depends on the measure of a specific angle.


Which set of values could be the side leghts of a 30- 60 -90 triangle?

In a 30-60-90 triangle, the side lengths are in a specific ratio: the length of the side opposite the 30-degree angle is (x), the side opposite the 60-degree angle is (x\sqrt{3}), and the hypotenuse is (2x). For example, if the side opposite the 30-degree angle is 1, the side lengths would be 1, (\sqrt{3}), and 2. Another valid set could be 2, (2\sqrt{3}), and 4.