GEOMETRY (Advanced) – Right Triangle

Right Triangle (AYT)

Learning Time: 4-12 hours

Content: Right triangle, AYT curriculum includes trigonometric relations (sine, cosine, tangent), special right triangles (30°-60°-90°, 45°-45°-90°), right triangles in space, and complex problems. This topic supports the transition to analytic geometry. The current 2025 AYT curriculum also includes vectors and applications in space.

• Trigonometric Relations:
  • Definition of Sine, Cosine, and Tangent
  • Special Angle Values (30°, 45°, 60°)
  • Proof Techniques
• Special Right Triangles:
  • 30°-60°-90° Triangle Ratios
  • 45°-45°-90° Triangle Ratios
  • Application Problems
• Advanced Analysis:
  • Right Triangle in Space
  • Vector Trigonometry
  • Complex Proofs
• Applications:
  • Right Triangle Analysis in Engineering
  • Navigation and Cartography
  • Geometric Analysis in Space
• Affecting Factors:
  • Angle Measurements
  • Side Lengths
  • Using Coordinates