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
![---
### Geometry Standards Review
#### Problem Statement:
What is JL?
#### Diagram Description:
- A right-angled triangle \( \triangle JKL \) with a right angle \( \angle KML \) is shown.
- \( JM \) is 8 units.
- \( KM \) is 6 units.
The diagram includes:
- \( J \) located at the bottom-left vertex of the triangle.
- \( K \) is at the top vertex where \( \angle JKL \) forms a right angle.
- \( M \) is the point on \( JL \) directly below \( K \), forming right angles with both \( L \) and \( J \).
#### Multiple Choice Options:
A. 4.5
B. 6.75
C. 8.75
D. 12.5
---
Select the correct option to determine the length of \( JL \).
### Explanation:
To find the length of \( JL \), consider the properties of the right-angled triangle and the given measurements.
### Answer Calculation:
Using the Pythagorean theorem \( a^2 + b^2 = c^2 \), where \( a = 6 \) (KM), \( b = 8 \) (JM), and \( c \) being the hypotenuse \( JL \).
Calculation Steps:
\[ c = \sqrt{a^2 + b^2} \]
\[ c = \sqrt{6^2 + 8^2} \]
\[ c = \sqrt{36 + 64} \]
\[ c = \sqrt{100} \]
\[ c = 10 \]
Therefore, the length of \( JL \) is \( 10 \).
Since the correct answer does not appear in the provided options, please check back with the instructor.
---
Continue to Review progress or navigate to Question 12 of 20.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa57e3cae-f7c9-4710-83d3-570fe5bfee61%2Fa95e5840-a8c0-4174-91a8-167db1fdf0ad%2Fvo7ausp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Geometry Standards Review
#### Problem Statement:
What is JL?
#### Diagram Description:
- A right-angled triangle \( \triangle JKL \) with a right angle \( \angle KML \) is shown.
- \( JM \) is 8 units.
- \( KM \) is 6 units.
The diagram includes:
- \( J \) located at the bottom-left vertex of the triangle.
- \( K \) is at the top vertex where \( \angle JKL \) forms a right angle.
- \( M \) is the point on \( JL \) directly below \( K \), forming right angles with both \( L \) and \( J \).
#### Multiple Choice Options:
A. 4.5
B. 6.75
C. 8.75
D. 12.5
---
Select the correct option to determine the length of \( JL \).
### Explanation:
To find the length of \( JL \), consider the properties of the right-angled triangle and the given measurements.
### Answer Calculation:
Using the Pythagorean theorem \( a^2 + b^2 = c^2 \), where \( a = 6 \) (KM), \( b = 8 \) (JM), and \( c \) being the hypotenuse \( JL \).
Calculation Steps:
\[ c = \sqrt{a^2 + b^2} \]
\[ c = \sqrt{6^2 + 8^2} \]
\[ c = \sqrt{36 + 64} \]
\[ c = \sqrt{100} \]
\[ c = 10 \]
Therefore, the length of \( JL \) is \( 10 \).
Since the correct answer does not appear in the provided options, please check back with the instructor.
---
Continue to Review progress or navigate to Question 12 of 20.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning