1. Pythagorean Theorem By Luis Arenas Arnold Gonzalez Jesus Morales

6. Proof C B A

7. Our proof For our proof you start off with a Regular right angle then you get 3 more triangles and rotate them 90o, 180o, and 270o which looks like this. Each has area ab/2

8. Our Proof Pythagorean theorem c^2=a^2+b^2 The square has a square hole with the side a – b, Summing up its area (a - b)2. The area of the four triangles ½ ab * 4 Which when you get to this step you foil an solve (a – b)(a – b) + 2ab Which gives you c^2=a^2 –ab –ab + b^2 + 2ab Then you combine like terms c^2=a^2 -2ab + b^2 + 2ab c^2=a^2 + b^2 Which proves that the Pythagorean theorem does work. C B A

9. First Problem A A B C 15 15 Find the Hypotenuse of letter C To find the Hypotenuse you multiply 15 x Sqrt of 2 =21.21

11. Conclusion Our conclusion is that Pythagoras should be innocent because he did a lot of great things in his life. He found a theorem that is named after his name. which is A^2 + B^2 =C^2 or the Pythagorean theorem. He opened three different schools in different countries. Which he helped a lot of people to learn. So young people could learn about his theorem. He’s work was great and a lot of people admired his work and thought it was a really great job. His work today is helping us learn about his theorem. He learned geometric principles in Egypt and that is how he got his theorem. He left to Metapontum because of a plot against him and his followers by a guy named Cylon. He died in Metapontum in the age of 90.