1. THE PYTHAGOREAN THEOREM A 2 + B 2 = C 2

2. THE PYTHAGOREAN THEOREM LEG A LEG B HYPOTENUSE PARTS OF A RIGHT TRIANGLE

3. THE PYTHAGOREAN THEOREM DIAGONALS SIDES PARTS OF A RECTANGLE OR SQUARE SIDES NOTICE TWO RIGHT TRIANGLES FORM A RECTANGLE

4. THE PYTHAGOREAN THEOREM A RIGHT TRIANGLE HAS ONE ANGLE THAT MEASURES 90 DEGREES. A RECTANGLE AND Square Have four sides that all Meet at a 90 degree angle.

5. THE PYTHAGOREAN THEOREM RIGHT ACUTE OBTUSE Categorized by angles A triangle with one right angle All angles less than 90 One angle more than 90

6. THE PYTHAGOREAN THEOREM EQUILATERAL ISOSCELES SCALENE Categorized by sides All sides equal (congruent) Two sides equal (congruent) No congruent sides

7. THE PYTHAGOREAN THEOREM NOW FOR THE GOOD STUFF THE PYTHAGOREAN THEOREM STATES THAT THE SQUARE OF THE LONGEST SIDE OF A RIGHT TRIANGLE (HYPOTENUSE) IS EQUAL TO THE SQUARES OF THE OTHER TWO SIDES. A 2 + B 2 = C 2

8. THE PYTHAGOREAN THEOREM Click to play animation

9. THE PYTHAGOREAN THEOREM PYTHAGORAS IS CREDITED WITH PROVING THIS THEOREM; HOWEVER, THERE IS EVIDENCE THAT BABYLONIAN MATHEMATICIANS USED OR KNEW OF THE FORMULA LONG BEFORE PYTHAGORAS. BIG QUESTION WHAT CAREERS OR OCCUPATIONS USE OR COULD USE THE PYTHAGOREAN THEOREM REGULARLY?

10. THE PYTHAGOREAN THEOREM PYTHAGOREAN TRIPLES ARE THREE POSITIVE INTEGERS THAT WHEN PLUGGED INTO THE PYTHAGOREAN EQUATION, MAKE IT TRUE.

11. THE PYTHAGOREAN THEOREM THE NUMBERS 3, 4, AND 5 ARE PROBABLY THE MOST COMMON PYTHAGOREAN TRIPLE. ANY MULTIPLES OF THIS COMBINATION OF NUMBERS ALSO MAKE THE EQUATION TRUE. I.E. 6,8, 10, ETC.

12. THE PYTHAGOREAN THEOREM THE CONVERSE OF THE PYTHAGOREAN THEOREM STATES THAT IF THE SQUARE OF THE LONGEST SIDE OF A TRIANGLE IS EQUAL TO THE SQUARES OF THE TWO LEGS OF A TRIANGLE, THEN THAT TRIANGLE IS A RIGHT TRIANGLE.

13. THE PYTHAGOREAN THEOREM NOW WE CAN TRY A COUPLE 21 20 29 1.1. 5 12 13 2.2. 33 56 65 3. 7 24 25 4. 5. 48 55 74 Is this a right Triangle? no

14. THE PYTHAGOREAN THEOREM NOW PROCEED TO WORKSHEET AND THEN LESSON ASSESSMENT A 2 + B 2 = C 2