Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.1: Triangles
Problem 1C
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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 \(\angle ABD\)).
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