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In ΔABC, A is a right angle, and m B = 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. A. 11ft B. 11√2 ft C. 11√3 ft D. 22ft

In ΔABC, A is a right angle, and m B = 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. A. 11ft B. 11√2 ft C. 11√3 ft D. 22ft

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In ΔABC, A is a right angle, and m B = 45°.

What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

A. 11ft

B. 11√2 ft

C. 11√3 ft

D. 22ft

In this image, we have a right-angled triangle labeled ABC. The right angle is situated at vertex A. The side adjacent to this right angle, labeled AC, is given a length of 11 ft. Here are the points of the triangle: - Point A: The right angle is located here. - Point B: Progressing from A horizontally. - Point C: Position extends from A vertically. The diagram clearly shows: - Line segment AB is perpendicular to line segment AC. - The measurement of the vertical line AC is 11 feet. This geometric representation is essential for understanding basic principles of trigonometry and geometry, particularly in the study of right triangles.
Transcribed Image Text:In this image, we have a right-angled triangle labeled ABC. The right angle is situated at vertex A. The side adjacent to this right angle, labeled AC, is given a length of 11 ft. Here are the points of the triangle: - Point A: The right angle is located here. - Point B: Progressing from A horizontally. - Point C: Position extends from A vertically. The diagram clearly shows: - Line segment AB is perpendicular to line segment AC. - The measurement of the vertical line AC is 11 feet. This geometric representation is essential for understanding basic principles of trigonometry and geometry, particularly in the study of right triangles.
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