Published on February 26, 2009
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 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
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
Pythagoras' Theorem. ... c = √2 = 1.4142... ... Right Angled Triangles Triangles Proof that a Triangle has 180° Pythagorean Triples Pythagorean Theorem ...
Virginia Department of Education © 2011 1 The Pythagorean Relationship ... Pythagorean Theorem, and explain how you would do this. Other
CHAPTER 3 Pythagorean Relationship GET READY 104 Math Link 106 3.1 Warm Up 107 3.1 Squares and Square Roots 108 3.2 Warm Up 117 3.2 Exploring the ...
Pythagorean Relationship . 1. Suppose that m and n are two positive integers such that m is less than n. a) Draw a table similar to the one shown. m
Grade 8 Pythagorean Theorem (Relationship) 8.SS.1 Develop and apply the Pythagorean theorem to solve problems. 1. Model and explain the Pythagorean theorem ...
Label Triangle 1. protractor 2. Arrange the squares to Triangle 1 as shown. T ... 3_2_Exploring_the_Pythagorean_Relationship.pdf Author: Karen Created Date:
Pythagorean Relationship . 1. Investigate if the Pythagorean relationship works for shapes other than squares. a) Use pencil and square dot paper or ...
View Notes - 3.1 Pythagorean Relationship from MATH 8 at Burnaby North Secondary. 1 Chapter 3 - Pythagorean Relationship Name: The Dangerous Ratio It's a
1. Introduction ... Rubric - Pythagorean Relationships: ... Once they have tried all the problems, and feel they understand the Pythagorean Relationship, ...