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2. O is the center of the given circle. If AB = 6, BC = 8, and AE = 15, find: A) AD B) DE A B D F C E

2. O is the center of the given circle. If AB = 6, BC = 8, and AE = 15, find: A) AD B) DE A B D F C E

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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### Problem Statement O is the center of the given circle. Given that \( AB = 6 \), \( BC = 8 \), and \( AE = 15 \), find: - A) \( AD \) - B) \( DE \) ### Diagram Explanation The diagram illustrates a circle with center \( O \). The circle has the following points labeled on it: - \( A \), \( B \), \( C \), \( D \), \( E \), and \( F \). Line segments outside the circle and their measurements are as follows: - \( AB = 6 \) - \( BC = 8 \) - The total length from \( A \) to \( E \) along the line extending from \( A \) is \( 15 \). Inside the circle: - \( D \) is a point on the line segment \( AE \) that extends from the circle. Use the given lengths to calculate the required distances \( AD \) and \( DE \).
Transcribed Image Text:### Problem Statement O is the center of the given circle. Given that \( AB = 6 \), \( BC = 8 \), and \( AE = 15 \), find: - A) \( AD \) - B) \( DE \) ### Diagram Explanation The diagram illustrates a circle with center \( O \). The circle has the following points labeled on it: - \( A \), \( B \), \( C \), \( D \), \( E \), and \( F \). Line segments outside the circle and their measurements are as follows: - \( AB = 6 \) - \( BC = 8 \) - The total length from \( A \) to \( E \) along the line extending from \( A \) is \( 15 \). Inside the circle: - \( D \) is a point on the line segment \( AE \) that extends from the circle. Use the given lengths to calculate the required distances \( AD \) and \( DE \).
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