Pythagoras and the Pythagorean Theorem By: Melissa Johnson and Julie Shaffer www.plato.stanford.edu.com.

Slides:



Advertisements
Similar presentations
Pythagoras Pythagoras was a Greek scholar and philosopher in the late century BC. Known as “the father of numbers, his teachings covered a variety of areas.
Advertisements

Pythagoras Pythagoras was a Greek scholar and philosopher ca 548 BC to 495 BC. Known as “the father of numbers, his teachings covered a variety of areas.
Keystone Geometry 1 The Pythagorean Theorem. Used to solve for the missing piece of a right triangle. Only works for a right triangle. Given any right.
By: Amina Boudjellel and Shuma Ali Wait for it…….
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
Pythagorean Theorem. Pythagoras Born on the Greek Isle of Samos in the 6 th Century Lived from BC He studied and made contributions in the fields.
Pythagorean Theorem Eman Almasruhi 3/1/2015. Objectives : Students will know the right triangle. Recognize Pythagorean Theorem. Do some example to show.
8-6 The Pythagorean Theorem Pythagorus (say "pie-thag-or-us") of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. He made important.
The Pythagorean Theorem Geometry Notes – 8.1 Mr. Belanger.
9.2 The Pythagorean Theorem
Ch 11.3 – The Pythagorean Theorem
1 9.1 and 9.2 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.
Geometry 1 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Oreški Ivana 779 Osijek  an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism  developed mathematics, astronomy,
Developer’s name: Ahmed Fallatah 03/17/2013 ETEC 544 Instructor: Brian Newberry Start.
The Pythagorean Theorem
Section 8-1: The Pythagorean Theorem and its Converse.
4.7 – Square Roots and The Pythagorean Theorem. SQUARES and SQUARE ROOTS: Consider the area of a 3'x3' square: A = 3 x 3 A = (3) 2 = 9.
Objective The student will be able to:
Section 7.1 – Solving Quadratic Equations. We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root.
Pythagoras Theorem EYAD HAKAMI MARCH 1, 2015 c b a.
Pythagorean Theorem Ramzy Alseidi. Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569.
Pythagorean Theorem Rochelle Williams TEC 539 Grand Canyon University July 7, 2010.
Pythagorean Theorem The best known mathematical proof is named for Pythagoras.
Pythagoras was a Greek mathematician who was born approximately 2700 years ago. He was responsible for figuring out a lot of modern maths, especially.
Pythagoras and the Pythagorean Theorem MEMBERS Roland Ramjattan Denise Kanhai-Gupta Alicia Rosan Arlene Bissoon.
Pythagorean Theorem By: Kierra Reber period 6 extra credit.
CHAPTER 8: RIGHT TRIANGLES 8.2 THE PYTHAGOREAN THEOREM.
Learning Pythagoras theorem
Pythagoras Mustafa Sencer AYDIN.
Topic 10 – Lesson 9-1 and 9-2. Objectives Define and identify hypotenuse and leg in a right triangle Determine the length of one leg of a right triangle.
Trigonometry – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. Who was Pythagoras 2. What.
PYTHAGORAS and the Pythagorean theorem Today you should be able to answer these questions… Who was Pythagoras? What was important about his life? Why.
The other two philosophers who were to influence Pythagoras, and to introduce him to mathematical ideas, were Thales and his pupil Anaximander who both.
Pythagorean Theorem By Abdullah Alsowyan Dr. Newberry.
Warm up Make a chart in your notes of the perfect squares from 1 to 20. For Example: 1 2 = = 4.
Pythagoras by: Alyssa Parrish. Pythagoras Greek philosopher and mathematician born on the island of Samos,Ionia.
Pythagorean Theorem By: Carrie Yates 8 th Grade Mathematics.
10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.
PYTHAGORAS. Who Was Pythagoras? Born about 569 BC in Samos, Ionia Died about 475 BC Greek Philosopher & Mathematician.
Understanding Pythagorean Theorem. Do You Remember? Find the value of each square root
6/22/ Types of Triangles  Types by Length Equilateral Isosceles Scalene  Types by Angle Equilateral Right Obtuse Acute Equilateral Right Isosceles.
The Pythagorean Theorem. Prerequisites Learners should already know: - Calculation rules - Meaning of the math power and of the square root - Flat figures.
By Irma Crespo Informal Proof. What do you see? ISZBCrespo.
RIGHT TRIANGLES AND THE PYTHAGOREAN THEOREM Lilly Weston Curriculum 2085 University of Louisiana at Monroe.
The Right Triangle and The Pythagorean Theorem
Warm up
The Pythagorean Theorem
Pythagoras’ Theorem and Trigonometry
The Pythagorean Theorem c a b.
Pythagorean Theorem.
9-2 Pythagorean Theorem.
6-3 The Pythagorean Theorem Pythagorean Theorem.
The Pythagorean Theorem
9.2 The Pythagorean Theorem
Page 134 First, some definitions.
Pythagorean Theorem a²+ b²=c².
11.7 and 11.8 Pythagorean Thm..
ALGEBRA I - SECTION (The Pythagorean Theorem)
The Pythagorean Theorem and Its Converse
Ways to prove Pythagoras theorem
The Pythagorean Theorem
In a right triangle, the side opposite the right angle is called the hypotenuse. This side is always the longest side of a right triangle. The other.
10-1 The Pythagorean Theorem
Presentation transcript:

Pythagoras and the Pythagorean Theorem By: Melissa Johnson and Julie Shaffer

Pythagoras Pythagoras- a lonian Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. Born on the island of Samos. Born C.580bc., Died C.569bc.(he was about 75 years old) People describe him as the first pure mathematician. He is also an important figure in the developments of mathematics even though we know very little about his mathematical achievements.

Pythagoren Theorem It’s the relation in Geometry among the three sides of a right triangle. It can be written as a equation relating the length of the sides a squared, b squared, and c squared. It is often called Pythagorean Equation. C SQUARED is verified as the Hypotenuse and a squared and b squared are verified as the other two legs It is also a simple mathematical equation with various uses today in geometry, trigonometry, architculture, etc.

Pythagoreanism Was the system of Metaphysical beliefs held by Pythagoras and his followers known as the Pythagorean cult. They were influenced by mathematicians. The image is an example of Pythagorean theorem

Questions (write down and answer) 1)What is Pythagorean Theorem? 2)What is Pythagoreanism? 3) How did people describe Pythagoras? 4) If a squared is 26 and b squared is 18 what is C squared. (solve to find answer!) 5) C is verified as what?

Answers 1) It’s a relation in Euclidean geometry among the three sides of a right triangle 2) The system of esoteric and metaphysical beliefs 3) As the first pure mathematician 4) = 1000 square root = IS right triangle 5) Hypotenuse

Pictures of Pythagoras, where he was born, and what people said about his Pythagorean Theorem

The End