lf AE=10, EB=9, and CE=6, find DE A 10 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
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**Date: June 9, 2021**

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**Problem:**

2) If \( AE = 10 \), \( EB = 9 \), and \( CE = 6 \), find \( DE \).

**Diagram Explanation:**

The diagram shows a circle with four points labeled \( A, B, C, \) and \( D \) lying on its circumference. Additionally, there are two intersecting chords \( AB \) and \( CD \) within the circle that intersect at point \( E \).

- \( AE = 10 \)
- \( EB = 9 \)
- \( CE = 6 \)

The goal is to find the length of \( DE \), the segment of chord \( CD \) from the point of intersection \( E \) to point \( D \).
Transcribed Image Text:**Date: June 9, 2021** --- **Problem:** 2) If \( AE = 10 \), \( EB = 9 \), and \( CE = 6 \), find \( DE \). **Diagram Explanation:** The diagram shows a circle with four points labeled \( A, B, C, \) and \( D \) lying on its circumference. Additionally, there are two intersecting chords \( AB \) and \( CD \) within the circle that intersect at point \( E \). - \( AE = 10 \) - \( EB = 9 \) - \( CE = 6 \) The goal is to find the length of \( DE \), the segment of chord \( CD \) from the point of intersection \( E \) to point \( D \).
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