Alat peraga Matematika Pythagoras - Pythaboard
Introduction to Pythagorean Theorem
Overview of the Video
- The presenter introduces themselves as Gresln and states the purpose of the video: to explain and prove the Pythagorean theorem, specifically finding the hypotenuse in a right triangle.
Initial Triangle Setup
- A right triangle is presented with known dimensions: base length of 4 cm and height of 3 cm. The hypotenuse remains unknown.
- The formula a^2 + b^2 = c^2 is introduced, which relates to calculating the hypotenuse. The presenter aims to clarify why this formula works.
Demonstration Using Styrofoam
Visual Proof Methodology
- Styrofoam pieces are cut into equal sizes (1 cm each). These will be used for visual proof by filling squares corresponding to the triangle's dimensions.
Filling Squares with Styrofoam
- The base square (4 cm side length) is filled with 16 styrofoam pieces, while a square representing height (3 cm side length) is filled with 9 pieces. This setup visually represents both sides of the equation in the Pythagorean theorem.
Conclusion of Proof
Verification of Pythagorean Theorem
- It is confirmed that the total number of styrofoam pieces can fill a square whose side equals the hypotenuse, thus proving that the sum of squares from both legs equals the square of the hypotenuse.