The pythagorean theorem
- 2. Pythagoras • Pythagoras lived in the 500s BC. • Was believed to prove the Pythagorean Theorem to be true.
- 3. The Formula C A B
- 4. History behind the Formula Babylonians understood the connection between the sides of a right triangle. Babylonians figured out the relationship approximately 1000 years before Pythagoras. It was named the Pythagorean Theorem because he is considered the first to have given proof that the formula is true.
- 5. Terms and Definitions Hypotenuse: The side opposite of the right angle. Pythagorean Triples: It is when all sides are integer values. Example 3,4,5
- 6. When can it be used? C 5 12 This formula can only be used with right triangles. Two side lengths must be given.
- 7. Applications for the Formula ? 3 5
- 8. Parts of the Triangle Leg A Leg B
- 9. How to use the Formula 5 12
- 10. How to use the Formula continued… a 6
- 11. Example of use for Differentials Car A is traveling west at 40 mi/h and car B is traveling north at 40 X mi/h. Both are headed for the intersection of the two roads. At what Y rate are the cars approaching each other when car A is 0.4 mi and car B is 0.3 mi from the intersection?
- 12. Solution Given Values 1. dx/dt=40 miles per hour 2. dy/dt=40 miles per hour Solve for: Dz/dt when x=.4, and y=.3
- 13. Solution Continued… .4 .3
- 14. Works Cited http://www.mathblog.dk/pythagorean-triplets/ http://www.historyforkids.org/learn/greeks/scien ce/math/pythagoras.htm http://www.livius.org/a/1/greeks/pythagoras.JPG http://ualr.edu/lasmoller/pythag.html Problems given made up by Zachary Parkin
- 15. Thank You