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Measurement Pythagorean Relationship
Who was Pythagoras? Why all the fuss about some dead Greek guy? (585 or 565 - 500 B.C.)
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.
How NOT to build a pyramid…
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.
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
Important term… In a right angle triangle, the side of the triangle opposite the right angle is called the  hypotenuse . hypotenuse legs
Activity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
So…who was Pythagoras? ,[object Object],[object Object],[object Object]
Pythagorean relationship hypotenuse legs ,[object Object]
Pythagorean relationship a 2  + b 2  = c 2 a c b b Area = b 2 Area = a 2 a c Area = c 2
Assignment Handout sheet Page 482, Questions 1,2,4,5,6,7
Pythagorean theorem

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Pythagorean Relationship 1