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1. Order the side lengths from least to greatest. B 102 38 A 40

1. Order the side lengths from least to greatest. B 102 38 A 40

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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**Question:** 1. Order the side lengths from least to greatest. **Diagram Description:** The diagram is of a triangle labeled with vertices A, B, and C. The angles within the triangle are also labeled as follows: - Angle at vertex A = 40 degrees - Angle at vertex B = 102 degrees - Angle at vertex C = 38 degrees **Explanation:** In a triangle, the side lengths are directly related to the opposite angles. - The side opposite the smallest angle (38 degrees at C) is the shortest. - The side opposite the medium angle (40 degrees at A) is of medium length. - The side opposite the largest angle (102 degrees at B) is the longest. By analyzing the given angles, we can correctly order the side lengths: - The shortest side is opposite the angle at C (38 degrees). - The side of medium length is opposite the angle at A (40 degrees). - The longest side is opposite the angle at B (102 degrees). Thus, the side lengths in order from least to greatest are: 1. Side opposite angle C. 2. Side opposite angle A. 3. Side opposite angle B.
Transcribed Image Text:**Question:** 1. Order the side lengths from least to greatest. **Diagram Description:** The diagram is of a triangle labeled with vertices A, B, and C. The angles within the triangle are also labeled as follows: - Angle at vertex A = 40 degrees - Angle at vertex B = 102 degrees - Angle at vertex C = 38 degrees **Explanation:** In a triangle, the side lengths are directly related to the opposite angles. - The side opposite the smallest angle (38 degrees at C) is the shortest. - The side opposite the medium angle (40 degrees at A) is of medium length. - The side opposite the largest angle (102 degrees at B) is the longest. By analyzing the given angles, we can correctly order the side lengths: - The shortest side is opposite the angle at C (38 degrees). - The side of medium length is opposite the angle at A (40 degrees). - The longest side is opposite the angle at B (102 degrees). Thus, the side lengths in order from least to greatest are: 1. Side opposite angle C. 2. Side opposite angle A. 3. Side opposite angle B.
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