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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Consider the following figure:

![Triangle Diagram](image)

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.
Transcribed Image Text:Consider the following figure: ![Triangle Diagram](image) 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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