Textbook
Chapter 1: Functions
Chapter 2: Quadratic Functions
Chapter 3: Equation Systems
Chapter 4: Indices, Surds and Logarithms
Chapter 5: Progressions
Chapter 6: Linear Law
Chapter 7: Coordinate Geometry
Chapter 8: Vectors
Chapter 9: Solution of Triangles
Chapter 10: Index Numbers
Chapter 9: Solution of Triangles
What you need to learn in this chapter
In this chapter, we will be learning about the solution of triangles.
We will start by understanding the Sine Rule, which helps us find the relationship between the ratio of the lengths of the sides of a triangle and the sine of the opposite angles.
Next, we will learn about the Cosine Rule, which allows us to find the length of a side or the measure of an angle in a triangle.
We will also explore how to find the area of a triangle using different formulas.
Lastly, we will apply the Sine Rule, Cosine Rule, and the area of a triangle to solve various triangle problems.
By the end of this chapter, we will be able to solve triangles using these rules and formulas.
Topics in this chapter
1. Sine Rule
What you will learn in this topic
- Make and verify conjectures on the relationship between the ratio of length of sides of a triangle with the sine of the opposite angles, and hence define the sine rule
- Solve triangles involving sine rule
- Determine the existence of ambiguous case of a triangle, and hence identify the conditions for such cases
- Solve triangles involving ambiguous cases
- Solve problems related to triangles using the sine rule
2. Cosine Rule
What you will learn in this topic
- Verify the cosine rule
- Solve triangles involving the cosine rule
- Solve problems involving the cosine rule
3. Area of a Triangle
What you will learn in this topic
- Derive the formula for area of triangles, and hence determine the area of a triangle
- Determine the area of a triangle using the Heron’s formula
- Solve problems involving areas of triangles
4. Application of Sine Rule, Cosine Rule and Area of a Triangle
What you will learn in this topic
- Solve problems involving triangles
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