Solve for the long leg and for the hypotenuse of the 30-60-90 triangle.
1 answer:
By using the properties of the 30-60-90 right triangles, the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.
<h3>What are the lengths of the hypotenuse and the long leg of the 30-60-90 right triangle?</h3>
Right triangles are triangles where one of its internal angles is a right angle, that is, has a measure of 90°. 30-60-90 triangles are right triangles whose internal angles have measures of 30°, 60° and 90°, respectively.
This kind of right triangles have the following features:
- The long leg is adjacent to the least angle of the triangle, that is, the angle whose measure is 30°.
- The short leg is opposite to the least angle of the triangle, that is, the angle whose measure is 30°.
- The length of the long leg is √3 times the length of the short leg.
- The length of the hypotenuse is 2 times the length of the short leg.
If we know that the short leg has a length of L, then the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.
To learn more on 30-60-90 right triangles: brainly.com/question/11751274
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Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
There fore, the beam will bend by 50 mm with a mass of 100kg?