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
Related questions
Question
Find the missing side measures for the
![### Problem: Find the Missing Side Measures for the Triangle Below
**Points: 2 Points**
#### Diagram Description
The image contains a right triangle, labeled as follows:
- Vertex **A** at the top left with an angle of 45 degrees.
- Vertex **B** at the bottom left.
- Vertex **C** at the bottom right with an angle of 45 degrees.
- The hypotenuse **AC** has a length of 21 units.
#### Question
1. **Find the missing side measures for the triangle below.**
The problem provides four multiple-choice options for the length of sides **AB** and **BC**.
#### Answer Choices:
- **Option 1:**
\[ 21\sqrt{2} \]
- **Option 2:**
\[ \frac{21}{2} \]
- **Option 3:**
\[ \frac{21\sqrt{2}}{2} \]
- **Option 4:**
\[ \frac{\sqrt{2}}{2} \]
In the given diagram and the setup, it is suggested to use the properties of 45-45-90 triangles to find the missing side lengths.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c0d7e7-dec0-442e-807e-93dee8ab6b46%2F09f1218e-d9a6-4652-8e29-b9fc74890e74%2F8rmdfs_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem: Find the Missing Side Measures for the Triangle Below
**Points: 2 Points**
#### Diagram Description
The image contains a right triangle, labeled as follows:
- Vertex **A** at the top left with an angle of 45 degrees.
- Vertex **B** at the bottom left.
- Vertex **C** at the bottom right with an angle of 45 degrees.
- The hypotenuse **AC** has a length of 21 units.
#### Question
1. **Find the missing side measures for the triangle below.**
The problem provides four multiple-choice options for the length of sides **AB** and **BC**.
#### Answer Choices:
- **Option 1:**
\[ 21\sqrt{2} \]
- **Option 2:**
\[ \frac{21}{2} \]
- **Option 3:**
\[ \frac{21\sqrt{2}}{2} \]
- **Option 4:**
\[ \frac{\sqrt{2}}{2} \]
In the given diagram and the setup, it is suggested to use the properties of 45-45-90 triangles to find the missing side lengths.
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