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Order the angles in each triangle from sma 19 U T 21 10 S

Order the angles in each triangle from sma 19 U T 21 10 S

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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**Objective:** Order the angles in the given triangle from smallest to largest. **Diagram Description:** The diagram illustrates triangle \( \triangle TUS \). The sides of the triangle are labeled as follows: - Side \( TU \) is 19 units long. - Side \( US \) is 10 units long. - Side \( TS \) is 21 units long. **Instructions:** To determine the order of the angles, recall that in any triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. Thus: 1. The largest angle is opposite the longest side, which is 21 (side \( TS \)). Therefore, angle \( \angle U \) is the largest. 2. The smallest angle is opposite the shortest side, which is 10 (side \( US \)). Therefore, angle \( \angle T \) is the smallest. 3. The remaining angle, \( \angle S \), is in between. **Conclusion:** The angles in \( \triangle TUS \), ordered from smallest to largest, are \( \angle T \), \( \angle S \), \( \angle U \).
Transcribed Image Text:**Objective:** Order the angles in the given triangle from smallest to largest. **Diagram Description:** The diagram illustrates triangle \( \triangle TUS \). The sides of the triangle are labeled as follows: - Side \( TU \) is 19 units long. - Side \( US \) is 10 units long. - Side \( TS \) is 21 units long. **Instructions:** To determine the order of the angles, recall that in any triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. Thus: 1. The largest angle is opposite the longest side, which is 21 (side \( TS \)). Therefore, angle \( \angle U \) is the largest. 2. The smallest angle is opposite the shortest side, which is 10 (side \( US \)). Therefore, angle \( \angle T \) is the smallest. 3. The remaining angle, \( \angle S \), is in between. **Conclusion:** The angles in \( \triangle TUS \), ordered from smallest to largest, are \( \angle T \), \( \angle S \), \( \angle U \).
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