Here are two triangles 12 4 A В D Some of the side lengths have been labeled. Find the length of BE and describe your reasoning. Be sure to use the word scale factor in your response

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Here are two triangles

The image depicts two right triangles, ∆ABC and ∆BED, which are adjacent and share the point B.

Vertices and sides:
- Triangle ∆ABC: 
  - AB = 3 units
  - BC = 5 units
  - AC = 4 units

- Triangle ∆BED:
  - BD = 12 units
  - BE needs to be determined
  - DE has a right angle at D

Description:
- The angles at point B are marked with arcs that indicate they are congruent, suggesting that the triangles are similar by AA (Angle-Angle) similarity.
  
Task:
Some of the side lengths have been labeled. Find the length of BE and describe your reasoning. Be sure to use the word "scale factor" in your response.
Transcribed Image Text:Here are two triangles The image depicts two right triangles, ∆ABC and ∆BED, which are adjacent and share the point B. Vertices and sides: - Triangle ∆ABC: - AB = 3 units - BC = 5 units - AC = 4 units - Triangle ∆BED: - BD = 12 units - BE needs to be determined - DE has a right angle at D Description: - The angles at point B are marked with arcs that indicate they are congruent, suggesting that the triangles are similar by AA (Angle-Angle) similarity. Task: Some of the side lengths have been labeled. Find the length of BE and describe your reasoning. Be sure to use the word "scale factor" in your response.
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