Find the length of CD 16.1 E 31.6

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:
Find the length of \( \overline{CD} \).

### Diagram Explanation:
- The diagram consists of a straight line segment labeled from point \( C \) to point \( E \).
- Point \( C \) is at the start of the line, and point \( E \) is at the end.
- Point \( D \) is marked on the line between \( C \) and \( E \).
- The segment from \( D \) to \( E \) is labeled as \( 16.1 \).
- The total length from \( C \) to \( D \) is marked as \( 31.6 \) with a blue arrow spanning from \( C \) to \( D \).

### Calculation:
To find the length of \( \overline{CD} \), subtract the length of \( \overline{DE} \) from the total length \( \overline{CE} \).

\[ CD = CE - DE = 31.6 - 16.1 = 15.5 \]

Thus, the length of \( \overline{CD} \) is \( 15.5 \).
Transcribed Image Text:### Problem Statement: Find the length of \( \overline{CD} \). ### Diagram Explanation: - The diagram consists of a straight line segment labeled from point \( C \) to point \( E \). - Point \( C \) is at the start of the line, and point \( E \) is at the end. - Point \( D \) is marked on the line between \( C \) and \( E \). - The segment from \( D \) to \( E \) is labeled as \( 16.1 \). - The total length from \( C \) to \( D \) is marked as \( 31.6 \) with a blue arrow spanning from \( C \) to \( D \). ### Calculation: To find the length of \( \overline{CD} \), subtract the length of \( \overline{DE} \) from the total length \( \overline{CE} \). \[ CD = CE - DE = 31.6 - 16.1 = 15.5 \] Thus, the length of \( \overline{CD} \) is \( 15.5 \).
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