A right triangle has a leg with a length of 21 and a hypotenuse with a length of 42. Eunice notices that the hypotenuse is twice the length of the given leg, which means it is a 30-60-90 triangle. Which of the following statements are correct? Select all that apply. Eunice is not right. It is a 45-45-90 triangle. The length of the remaining leg is 21/2. The length of the remaining leg is 21/3. The angle opposite to the side with length 21 measures 30°.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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NATION
A right triangle has a leg with a length of 21 and a hypotenuse with a length of 42. Eunice notices that
the hypotenuse is twice the length of the given leg, which means it is a 30-60-90 triangle.
Which of the following statements are correct? Select all that apply.
Eunice is not right. It is a 45-45-90 triangle.
The length of the remaining leg is 21/2.
The length of the remaining leg is 21/3.
The angle opposite to the side with length 21 measures 30°.
Transcribed Image Text:NATION A right triangle has a leg with a length of 21 and a hypotenuse with a length of 42. Eunice notices that the hypotenuse is twice the length of the given leg, which means it is a 30-60-90 triangle. Which of the following statements are correct? Select all that apply. Eunice is not right. It is a 45-45-90 triangle. The length of the remaining leg is 21/2. The length of the remaining leg is 21/3. The angle opposite to the side with length 21 measures 30°.
Eunice is not right. It is a 45-45-90 triangle.
The length of the remaining leg is 21/2.
The length of the remaining leg is 21/3.
The angle opposite to the side with length 21 measures 30°.
The perimeter of the triangle is approximately 84.
Transcribed Image Text:Eunice is not right. It is a 45-45-90 triangle. The length of the remaining leg is 21/2. The length of the remaining leg is 21/3. The angle opposite to the side with length 21 measures 30°. The perimeter of the triangle is approximately 84.
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