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:
- 0.83
- 0.9
- steeper than
- slower than
Step-by-step explanation:
Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.
Michael climbs 9 stairs in 10 seconds so his rate is ...
... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second
Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.
Ted climbs fewer stairs per second, so his rate is slower than Michael's.
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<em>Comment on the problem</em>
You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)
Answer:
The area of the larger triangle is 48 square centimeters
Step-by-step explanation:
Please kindly check the attached file for details.
