Find all possible solutions for the triangle (should only be 2) **Triangle Problem Solving**Given data:1. Angle A = 60° 43'2. Side a = 85.203. Side b = 60.34. Angle B = 65° 40'Angles and sides to find:- **Angle C**- **Side c** (for both triangles)Using the Law of Sines:\[\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\]Calculate values:1. Calculate angle C using: \[ C = 180° - (A + B) \]2. Use the Law of Sines to find side c: \[ c = \frac{a \cdot \sin C}{\sin A} \]Repeat calculations if necessary for different angles C that satisfy the given conditions. **Note:** The problem involves finding all sides for two possible configurations of the triangle (ambiguous case in trigonometry).

Answered: u 341 Sin 6.45 + Sin 26.6 az 05.20 B =…

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

See similar textbooks

Related questions

Question

100%

Find all possible solutions for the triangle (should only be 2)

**Triangle Problem Solving**

Given data:

1. Angle A = 60° 43'
2. Side a = 85.20
3. Side b = 60.3
4. Angle B = 65° 40'

Angles and sides to find:

- **Angle C**
- **Side c** (for both triangles)

Using the Law of Sines:

\[
\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}
\]

Calculate values:

1. Calculate angle C using:
\[ C = 180° - (A + B) \]

2. Use the Law of Sines to find side c:
\[ c = \frac{a \cdot \sin C}{\sin A} \]

Repeat calculations if necessary for different angles C that satisfy the given conditions.

**Note:** The problem involves finding all sides for two possible configurations of the triangle (ambiguous case in trigonometry).

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution