Sketch the triangle. LA = 21°, LB = 110°, C= 35 110 35 35 110° B 21° A B 21 35 110º B 21° 110° B 35 A A Solve the triangle using the Law of Sines. (Round side lengths to one decimal place.) b= LC =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
### Sketch the Triangle

Given values:
- Angle \( A = 21^\circ \)
- Angle \( B = 110^\circ \)
- Side \( c = 35 \)

**Diagrams:**

1. **Top Left Triangle:**
   - Vertex A has an angle of \( 21^\circ \).
   - Vertex B has an angle of \( 110^\circ \).
   - Side AB is labeled with the length \( 35 \).

2. **Top Right Triangle:**
   - Vertex A has an angle of \( 110^\circ \).
   - Vertex C has a side labeled \( 35 \).
   - Side BC is adjacent to \( 21^\circ \).

3. **Bottom Left Triangle:**
   - Vertex B has an angle of \( 110^\circ \).
   - Vertex C has an angle of \( 21^\circ \).
   - Side BC is labeled with length \( 35 \).

4. **Bottom Right Triangle:**
   - Vertex C has an angle of \( 21^\circ \).
   - Vertex B has an angle of \( 110^\circ \).
   - Side AB is labeled with length \( 35 \).

### Solve the Triangle Using the Law of Sines

Instructions: Round side lengths to one decimal place.

1. **Input Fields:**
   - \( a = \) \_\_\_\_
   - \( b = \) \_\_\_\_
   - \( \angle C = \) \_\_\_\_

Choose the correct sketch that matches the given angles and side length before solving.
Transcribed Image Text:### Sketch the Triangle Given values: - Angle \( A = 21^\circ \) - Angle \( B = 110^\circ \) - Side \( c = 35 \) **Diagrams:** 1. **Top Left Triangle:** - Vertex A has an angle of \( 21^\circ \). - Vertex B has an angle of \( 110^\circ \). - Side AB is labeled with the length \( 35 \). 2. **Top Right Triangle:** - Vertex A has an angle of \( 110^\circ \). - Vertex C has a side labeled \( 35 \). - Side BC is adjacent to \( 21^\circ \). 3. **Bottom Left Triangle:** - Vertex B has an angle of \( 110^\circ \). - Vertex C has an angle of \( 21^\circ \). - Side BC is labeled with length \( 35 \). 4. **Bottom Right Triangle:** - Vertex C has an angle of \( 21^\circ \). - Vertex B has an angle of \( 110^\circ \). - Side AB is labeled with length \( 35 \). ### Solve the Triangle Using the Law of Sines Instructions: Round side lengths to one decimal place. 1. **Input Fields:** - \( a = \) \_\_\_\_ - \( b = \) \_\_\_\_ - \( \angle C = \) \_\_\_\_ Choose the correct sketch that matches the given angles and side length before solving.
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