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.
• 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
• Verify the cosine rule
• Solve triangles involving the cosine rule
• Solve problems involving the cosine rule
• 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
• Solve problems involving triangles
There is no chapter or topic to show
