3. Theorems in Geometry & Trigonometry

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Key Theorems In Geometry

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   This section explores key theorems in geometry, including the Pythagorean...

2. 1.1

   Pythagoras’ Theorem

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   Pythagoras’ Theorem identifies the relationship between the sides of a...

3. 1.2

   The Converse Of Pythagoras' Theorem

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   The Converse of Pythagoras' Theorem helps identify right-angled triangles...

4. 1.3

   The Triangle Sum Theorem

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   The Triangle Sum Theorem states that the sum of the interior angles of a...

5. 1.4

   The Exterior Angle Theorem

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   The Exterior Angle Theorem states that an exterior angle of a triangle is...

6. 1.5

   Isosceles Triangle Theorem

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   The Isosceles Triangle Theorem states that in an isosceles triangle, the...

7. 1.6

   Basic Proportionality Theorem (Thales’ Theorem)

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   The Basic Proportionality Theorem, or Thales' Theorem, states that a line...

8. 2

   Key Theorems In Trigonometry

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   This section introduces the fundamental theorems of trigonometry related to...

9. 2.1

   Trigonometric Ratios In A Right Triangle

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   Trigonometric ratios define the relationships between the sides of a right...

10. 2.2

    Pythagorean Identity

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    The Pythagorean identity states that for any angle θ, the sum of the squares...

11. 2.3

    Complementary Angle Theorem

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    The Complementary Angle Theorem states the relationships between sine,...

12. 2.4

    Angle Of Elevation And Depression

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    This section defines the angles of elevation and depression and discusses...

13. 3

    Real-World Applications

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    This section outlines the practical applications of key geometric and...

14. 4

    Worked Examples

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    This section provides worked examples illustrating key concepts in geometry...

15. 5

    Practice Exercises

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    This section presents practice exercises related to theorems in geometry and...

16. 6

    Chapter Summary

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    This chapter outlines the essential theorems in geometry and trigonometry,...