Alat peraga Matematika Pythagoras - Pythaboard

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.
Video description

Halo semunya! Perkenalkan namaku Gracelynne dari kelas IX-A. Pada kesempatan kali ini, aku akan mencoba menjelaskan dan membuktikan rumus teorema pythagoras yaitu mencari garis hipotenusa atau garis miring pada sebuah segitiga siku-siku. Semoga video ini dapat bermanfaat dan membantu teman-teman sekalian yang masih bingung mengenai pembuktian rumus teorema pyhtagoras ini !!