Angle Bisector and Side Bisector (AYT)
Learning Time: 3-10 hours
Content: Angle bisector is in the AYT curriculum, focuses on the angle bisector theorem, angle bisectors in space, and trigonometric relations. This topic includes complex triangle problems and analytical solutions. The current 2025 AYT curriculum also includes vectors and space geometry. Side bisector is in the AYT curriculum, focuses on the angle bisector theorem, angle bisectors in space, and trigonometric relations. This topic includes complex triangle problems and analytical solutions. The current 2025 AYT curriculum also includes vectors and space geometry.
- Angle Bisector Theorem:
- Theorem Definition (a/b = c/d)
- Proof Techniques
- Application Problems
- Advanced Analysis:
- Angle Bisector in Space
- Trigonometric Relations
- Vector Angle Bisector Calculations
- Problem Solving and Proof:
- Complex Triangle Problems
- Geometric Proofs
- Applications of Angle Bisector in Space
- Applications:
- Angle Bisector Analysis in Engineering
- Use in Space Design
- Trigonometric Modeling
- Affecting Factors:
- Triangle Type
- Angle Measurements
- Using Coordinates
- Theorem Bisector Theorem:
- Theorem Definition (m_a = ½ √(2b² + 2c² – a²))
- Proof Techniques
- Application Problems
- Advanced Analysis:
- Bisector in Space
- Trigonometric Relations
- Vector Bisector Calculations
- Problem Solving and Proof:
- Complex Triangle Problems
- Geometric Proofs
- Applications of Medians in Space
- Applications:
- Median Analysis in Engineering
- Use in Space Designs
- Trigonometric Modeling
- Affecting Factors:
- Triangle Type
- Side Lengths
- Usage of Coordinates
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
