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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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**Title:** Determining the Value of \( u \) in an Isosceles Triangle

**Topic:** Level L - K.9 Congruency in Isosceles and Equilateral Triangles

**Question:** What is the value of \( u \)?

**Triangle Description:**

- This is a geometric diagram showing a triangle labeled \( \triangle ABC \).
- Side \( AC \) is marked with a length of \( u \).
- Side \( BC \) is marked with a length of 19.
- Side \( AB \) is marked with a length of 22.

**Objective:** 

- Find the value of \( u \).

**Interactive Component:**

- There is an input box for entering the value of \( u \).
- A "Submit" button is available for submitting the answer.

---

The task involves using the properties of triangles, specifically congruency or the Pythagorean theorem, to solve for the unknown side \( u \). Explore methods such as identifying similar triangles or using the given side lengths to test for congruency.

**Additional Resources:**

- Click on the "Video" icon to view an instructional video explaining the concepts of triangle congruency and solving for unknown sides.
Transcribed Image Text:**Title:** Determining the Value of \( u \) in an Isosceles Triangle **Topic:** Level L - K.9 Congruency in Isosceles and Equilateral Triangles **Question:** What is the value of \( u \)? **Triangle Description:** - This is a geometric diagram showing a triangle labeled \( \triangle ABC \). - Side \( AC \) is marked with a length of \( u \). - Side \( BC \) is marked with a length of 19. - Side \( AB \) is marked with a length of 22. **Objective:** - Find the value of \( u \). **Interactive Component:** - There is an input box for entering the value of \( u \). - A "Submit" button is available for submitting the answer. --- The task involves using the properties of triangles, specifically congruency or the Pythagorean theorem, to solve for the unknown side \( u \). Explore methods such as identifying similar triangles or using the given side lengths to test for congruency. **Additional Resources:** - Click on the "Video" icon to view an instructional video explaining the concepts of triangle congruency and solving for unknown sides.
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