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:
So the correct option is First one
i.e
Step-by-step explanation:
Given:
Area of Shaded part = 9 π square feet
To Find :
Area of Circle = ?
Solution:
90 degree center angle is equivalent to an area of 9 Π square feet
So, 360 degree center is equivalent to area A which is the area of the complete circle.
So the Ratio will be
Setting the given statements in proportion:
On solving we get the required
So the correct option is First one
i.e
Alternate Method:
Shaded part is of 90°
Area of Shaded part = 9 π square feet
And Full Circle is of 360° that is 4 sector of 90°
So the correct option is First one
i.e
On solving this we get