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What is the length of the apothem of the regular pentagon shown below? Round to one decimal place. 7.6 m A a = 12.7 m B a= 5.2 m с a = 7.6 m D a = 15.2 m a

What is the length of the apothem of the regular pentagon shown below? Round to one decimal place. 7.6 m A a = 12.7 m B a= 5.2 m с a = 7.6 m D a = 15.2 m a

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:** What is the length of the apothem of the regular pentagon shown below? Round to one decimal place. **Diagram Description:** A regular pentagon is illustrated with one of its sides labeled as 7.6 meters. Additionally, the apothem (represented by a blue line extending from the center of the pentagon to the midpoint of one of its sides) is denoted by the letter 'a'. **Answer Choices:** - A. \( a = 12.7 \, \text{m} \) - B. \( a = 5.2 \, \text{m} \) - C. \( a = 7.6 \, \text{m} \) - D. \( a = 15.2 \, \text{m} \) **Graph/Diagram Explanation:** The diagram provides a visual representation of a regular pentagon with one side measuring 7.6 meters. The apothem, indicated by a line segment labeled 'a', extends from the center of the pentagon to the midpoint of one of its sides. The goal is to determine the length of this apothem, given the side length of the pentagon. The answer options provide various possible lengths for 'a'.
Transcribed Image Text:**Question:** What is the length of the apothem of the regular pentagon shown below? Round to one decimal place. **Diagram Description:** A regular pentagon is illustrated with one of its sides labeled as 7.6 meters. Additionally, the apothem (represented by a blue line extending from the center of the pentagon to the midpoint of one of its sides) is denoted by the letter 'a'. **Answer Choices:** - A. \( a = 12.7 \, \text{m} \) - B. \( a = 5.2 \, \text{m} \) - C. \( a = 7.6 \, \text{m} \) - D. \( a = 15.2 \, \text{m} \) **Graph/Diagram Explanation:** The diagram provides a visual representation of a regular pentagon with one side measuring 7.6 meters. The apothem, indicated by a line segment labeled 'a', extends from the center of the pentagon to the midpoint of one of its sides. The goal is to determine the length of this apothem, given the side length of the pentagon. The answer options provide various possible lengths for 'a'.
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