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
Related questions
Question
![**Question:**
If △ABC ~ △DEC, what is the value of \( y \)?
**Diagram Explanation:**
The image shows two triangles, △ABC and △DEC, which are similar. The sides of the triangles are labeled with their respective lengths:
- AB = 14 inches
- BC = \( y \) inches
- CD = 43.8 inches
- DE = 21 inches
**Additional Information:**
The relationship between the triangles is given by the similarity condition, △ABC ~ △DEC. This means that the corresponding sides of the triangles are proportional.
**Equation Provided:**
The image provides a setup for finding \( y \) in terms of the proportion:
\[ y = \frac{[?]}{[?]} \text{ inches} \]
**Instruction:**
Solve for \( y \) using the proportionality of the similar triangles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58531ebd-4d7b-4587-924e-328516ceeabd%2Fb325e6c9-cb99-4112-8830-48585f142ee4%2F539cym9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
If △ABC ~ △DEC, what is the value of \( y \)?
**Diagram Explanation:**
The image shows two triangles, △ABC and △DEC, which are similar. The sides of the triangles are labeled with their respective lengths:
- AB = 14 inches
- BC = \( y \) inches
- CD = 43.8 inches
- DE = 21 inches
**Additional Information:**
The relationship between the triangles is given by the similarity condition, △ABC ~ △DEC. This means that the corresponding sides of the triangles are proportional.
**Equation Provided:**
The image provides a setup for finding \( y \) in terms of the proportion:
\[ y = \frac{[?]}{[?]} \text{ inches} \]
**Instruction:**
Solve for \( y \) using the proportionality of the similar triangles.
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