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A. If BC CD and AB = 23, what is BD? D

A. If BC CD and AB = 23, what is BD? D

Algebra and Trigonometry (6th Edition)
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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**Problem Statement:** If \( \overline{BC} \cong \overline{CD} \) and \( AB = 23 \), what is \( BD \)? **Diagram Explanation:** The diagram illustrates a geometric figure with four points labeled A, B, C, and D. The points connect to form two triangles within the figure: - Triangle ABC, with a right angle at point A. - Triangle ABD, with segments BC and CD marked as congruent (indicating they are equal in length). **Key Geometric Concepts:** - \( \overline{BC} \cong \overline{CD} \) suggests both segments BC and CD have the same length. - A right angle is present at point A, marked by a small square. - The problem states that segment AB is equal to 23 units. **Objective:** To find the length of segment \( BD \).
Transcribed Image Text:**Problem Statement:** If \( \overline{BC} \cong \overline{CD} \) and \( AB = 23 \), what is \( BD \)? **Diagram Explanation:** The diagram illustrates a geometric figure with four points labeled A, B, C, and D. The points connect to form two triangles within the figure: - Triangle ABC, with a right angle at point A. - Triangle ABD, with segments BC and CD marked as congruent (indicating they are equal in length). **Key Geometric Concepts:** - \( \overline{BC} \cong \overline{CD} \) suggests both segments BC and CD have the same length. - A right angle is present at point A, marked by a small square. - The problem states that segment AB is equal to 23 units. **Objective:** To find the length of segment \( BD \).
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