Consider the fallowing igure. b BC, AD - 4, De-+3. A +1 ec- (a-1) a and EC (Enter your answert as comma separated lists. Mthere is no solution, enter NO SOUTION) Giveni Find: Need Help?
Consider the fallowing igure. b BC, AD - 4, De-+3. A +1 ec- (a-1) a and EC (Enter your answert as comma separated lists. Mthere is no solution, enter NO SOUTION) Giveni Find: Need Help?
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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The diagram shows a triangle \( \triangle ABC \) with points \( D \) on \( \overline{AB} \) and \( E \) on \( \overline{AC} \). A line segment \( \overline{DE} \) is drawn inside the triangle, parallel to \( \overline{BC} \).
Given:
- \( DE \parallel BC \)
- \( AD = 4 \), \( DB = a + 3 \)
- \( AE = a + 1 \), \( EC = 3(a - 1) \)
Find \( a \) and \( EC \).
(Enter your answers as comma-separated lists. If there is no solution, enter NO SOLUTION.)
Input boxes are provided for the answers to \( a = \) and \( EC = \), followed by a red 'X' indicating incorrect answers.
A "Need Help?" button is visible below the input fields for additional assistance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62411b6e-d24b-4e21-a95e-fb2c9695e63c%2Ff84d7ebc-b1e0-494c-979a-0ec8b87ca064%2F2ian9wm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following figure:

The diagram shows a triangle \( \triangle ABC \) with points \( D \) on \( \overline{AB} \) and \( E \) on \( \overline{AC} \). A line segment \( \overline{DE} \) is drawn inside the triangle, parallel to \( \overline{BC} \).
Given:
- \( DE \parallel BC \)
- \( AD = 4 \), \( DB = a + 3 \)
- \( AE = a + 1 \), \( EC = 3(a - 1) \)
Find \( a \) and \( EC \).
(Enter your answers as comma-separated lists. If there is no solution, enter NO SOLUTION.)
Input boxes are provided for the answers to \( a = \) and \( EC = \), followed by a red 'X' indicating incorrect answers.
A "Need Help?" button is visible below the input fields for additional assistance.
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