The study of similar triangles in geometry offers a fascinating glimpse into the relationships between proportional shapes. Our website investigates the properties of similar triangles, where corresponding angles are equal, and corresponding sides are proportional. By understanding the principles behind similarity, students can apply these concepts to diverse fields like engineering, architecture, and design, solving problems that involve scaling, perspective, and optimization. Dive into the world of similar triangles and uncover their versatile applications that shape our understanding of the geometric world and its real-life manifestations.
Lessons
8.1 – Introduction to Ratios
8.2 – Similar Triangles
8.3 – Similar Triangle Proofs
8.4 – Proportional Perimeters and Areas in Triangles
8.5 – Angle Bisector Theorem of Triangles
8.6 – Proportions in Right Triangles
8.7 – Pythagorean Theorem
8.8 – 45-45-90 Triangles
8.9 – 30-60-90 Triangles
8.10 – Proving Triangles Similar
8.11 – Sine Cosine Tangent
8.12 – Applications to Sine Cosine Tangent
8.13 – Inverse Trigonometric Functions
8.14 – Area of Regular Polygons
8.15 – Sin & Cos of Complementary Angles