Objective
Explore and prove the Pythagorean Theorem through various methods.
Materials
- Graph paper
- Pencils and rulers
- Right-angled triangles (drawn or physical models)
- Notebook for recording data
Instructions
- Draw several right-angled triangles on graph paper, measuring their sides.
- Verify the Pythagorean Theorem (\(a^2 + b^2 = c^2\)) for each triangle by calculating the squares of the sides.
- Explore different methods of proving the theorem, such as geometric proofs or algebraic manipulation.
- Compare the results from different methods to confirm the theorem’s validity.
- Present your findings in a report, discussing the theorem’s importance and applications in geometry.