Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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Please can I get some help.
![**Understanding Adjacent Sides in a Triangle**
**Diagram Description and Transcription:**
The image represents a right-angled triangle KJL. Here are the details and explanations:
1. **Triangle KJL Components:**
- **Vertices:** The vertices of the triangle are labeled K, J, and L.
- **Right Angle:** There is a right angle at vertex J, which is clearly marked with a small red square.
- **Angles and Measurements:**
- Angle \( \angle K = 27^\circ \).
- The length of side KL is given as 13.6 cm.
2. **Given Question:**
- **Question:** "Which leg is adjacent to angle L?"
- **Options:**
- O JL
- O LK
- O JK
**Explanation of Diagram:**
- **Right Triangle Identification:**
- In a right triangle, the side opposite the right angle is the hypotenuse (in this case, KL).
- The other two sides (legs) are JK and JL.
- **Adjacent Side Identification:**
- To identify which leg is adjacent to angle L, consider the definition. In geometry, the adjacent side to an angle in a right triangle is the side that forms the angle along with the hypotenuse, excluding the hypotenuse itself.
- Accordingly, for \( \angle L \), the adjacent sides are those forming \( \angle L \) aside from the hypotenuse KL. Therefore, the side adjacent to \( \angle L \) is JK.
**Conclusion:**
- The correct answer to the question "Which leg is adjacent to angle L?" is:
- **JK**
This visual and text explanation should help in understanding the concept of adjacent sides within right-angled triangles, especially in educational contexts such as geometry classes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bf67219-b61a-4356-beed-a1df9faed6c7%2F8e66f70d-5702-41d1-b8f5-608822786cb5%2F0b9iqwp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Adjacent Sides in a Triangle**
**Diagram Description and Transcription:**
The image represents a right-angled triangle KJL. Here are the details and explanations:
1. **Triangle KJL Components:**
- **Vertices:** The vertices of the triangle are labeled K, J, and L.
- **Right Angle:** There is a right angle at vertex J, which is clearly marked with a small red square.
- **Angles and Measurements:**
- Angle \( \angle K = 27^\circ \).
- The length of side KL is given as 13.6 cm.
2. **Given Question:**
- **Question:** "Which leg is adjacent to angle L?"
- **Options:**
- O JL
- O LK
- O JK
**Explanation of Diagram:**
- **Right Triangle Identification:**
- In a right triangle, the side opposite the right angle is the hypotenuse (in this case, KL).
- The other two sides (legs) are JK and JL.
- **Adjacent Side Identification:**
- To identify which leg is adjacent to angle L, consider the definition. In geometry, the adjacent side to an angle in a right triangle is the side that forms the angle along with the hypotenuse, excluding the hypotenuse itself.
- Accordingly, for \( \angle L \), the adjacent sides are those forming \( \angle L \) aside from the hypotenuse KL. Therefore, the side adjacent to \( \angle L \) is JK.
**Conclusion:**
- The correct answer to the question "Which leg is adjacent to angle L?" is:
- **JK**
This visual and text explanation should help in understanding the concept of adjacent sides within right-angled triangles, especially in educational contexts such as geometry classes.
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