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Information about Pythagorean Relationship 1

Published on February 26, 2009

Author: JeffWhipple

Source: slideshare.net

Intro lesson on Pythagorean Relationship for MS students.

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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 You will work in pairs… You will need… centimetre grid paper scissors Concept Development Page 246, Questions 1-2

You will work in pairs…

You will need…

centimetre grid paper

scissors

Concept Development

Page 246, Questions 1-2

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

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

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.

In a right triangle, the sum of the squares (area) of the legs is equal to the square (area) of the hypotenuse.

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

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