Which leg is adjacent to angle L? O JL O LK O JK

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.
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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