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# Pythagorean Relationship 1

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Intro lesson on Pythagorean Relationship for MS students.

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### Pythagorean Relationship 1

1. 1. Measurement Pythagorean Relationship
2. 2. Who was Pythagoras? Why all the fuss about some dead Greek guy? (585 or 565 - 500 B.C.)
3. 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. 4. How NOT to build a pyramid…
5. 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. 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. 7. Important term… In a right angle triangle, the side of the triangle opposite the right angle is called the hypotenuse . hypotenuse legs
8. 8. Activity <ul><li>You will work in pairs… </li></ul><ul><li>You will need… </li></ul><ul><ul><ul><li>centimetre grid paper </li></ul></ul></ul><ul><ul><ul><li>scissors </li></ul></ul></ul><ul><li>Concept Development </li></ul><ul><li>Page 246, Questions 1-2 </li></ul>
9. 9. So…who was Pythagoras? <ul><li>Greek – described as the first pure mathemetician </li></ul><ul><li>Lived ~ 2500 years ago… </li></ul><ul><li>Led a secretive society, half scientific and half religious, that he founded in what is now southern Italy </li></ul>
10. 10. Pythagorean relationship hypotenuse legs <ul><li>In a right triangle, the sum of the squares (area) of the legs is equal to the square (area) of the hypotenuse. </li></ul>
11. 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. 12. Assignment Handout sheet Page 482, Questions 1,2,4,5,6,7
13. 13. Pythagorean theorem
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