Pythagorean Relationship 1
- 2. Who was Pythagoras? Why all the fuss about some dead Greek guy? (585 or 565 - 500 B.C.)
- 3. It all started with the Pyramids! A couple thousand years before Pythagoras, the Egyptians used a unique method to make sure the base of each pyramid was square.
- 4. How NOT to build a pyramid…
- 5. Measuring a square corner using a …ROPE?? The Egyptian engineers used a rope tied together at the ends with 12 knots tied in equal distances around the rope.
- 6. Measuring a square corner using a …ROPE?? They knew that when the rope was shaped into a triangle with sides of 3, 4, and 5 it created a right angle between the sides of 3 and 4. 3 4 5
- 7. Important term… In a right angle triangle, the side of the triangle opposite the right angle is called the hypotenuse . hypotenuse legs
- 8. Activity You will work in pairs… You will need… centimetre grid paper scissors Concept Development Page 246, Questions 1-2
- 9. So…who was Pythagoras? Greek – described as the first pure mathemetician Lived ~ 2500 years ago… Led a secretive society, half scientific and half religious, that he founded in what is now southern Italy
- 10. Pythagorean relationship hypotenuse legs In a right triangle, the sum of the squares (area) of the legs is equal to the square (area) of the hypotenuse.
- 11. Pythagorean relationship a 2 + b 2 = c 2 a c b b Area = b 2 Area = a 2 a c Area = c 2
- 12. Assignment Handout sheet Page 482, Questions 1,2,4,5,6,7