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What is the length of segment EC? AADB~ A BEC. What is EC? A 4 D 5 B 12 C

What is the length of segment EC? AADB~ A BEC. What is EC? A 4 D 5 B 12 C

Elementary Geometry For College Students, 7e
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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**Question 1:** **Problem Statement:** What is the length of segment \(EC\)? Given triangles \( \Delta ADB \) is similar to \( \Delta BEC \). What is \(EC\)? **Diagram Explanation:** The diagram shows two right triangles, \(\Delta ADB\) and \(\Delta BEC\), within a larger triangle \(\Delta ABC\). - Point \(A\) is connected to point \(B\) and point \(D\). - Point \(B\) is connected to point \(C\) and point \(E\). - Segment \(AD\) is 4 units long. - Segment \(DB\) is 5 units long. - Segment \(BE\) is 12 units long. - Right angles are located at \(\angle ADB\), \(\angle BEC\), and \(\angle AEB\). Since \(\Delta ADB \sim \Delta BEC\) due to the AA similarity criterion (both triangles have right angles and share \(\angle ABD\)). **Page Information:** Page 8 of 13 0/1 Answered
Transcribed Image Text:**Question 1:** **Problem Statement:** What is the length of segment \(EC\)? Given triangles \( \Delta ADB \) is similar to \( \Delta BEC \). What is \(EC\)? **Diagram Explanation:** The diagram shows two right triangles, \(\Delta ADB\) and \(\Delta BEC\), within a larger triangle \(\Delta ABC\). - Point \(A\) is connected to point \(B\) and point \(D\). - Point \(B\) is connected to point \(C\) and point \(E\). - Segment \(AD\) is 4 units long. - Segment \(DB\) is 5 units long. - Segment \(BE\) is 12 units long. - Right angles are located at \(\angle ADB\), \(\angle BEC\), and \(\angle AEB\). Since \(\Delta ADB \sim \Delta BEC\) due to the AA similarity criterion (both triangles have right angles and share \(\angle ABD\)). **Page Information:** Page 8 of 13 0/1 Answered
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