9.2 The Pythagorean Theorem

1. 9.2 The Pythagorean Theorem Did Pythagoras of Samos discover the Pythagorean theorem?

2. The Pythagorean Theorem In a Right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

4. The Pythagorean Theorem In a Right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

5. Pythagorean Triples If the sides of a Right triangle are integers, then the sides are known as a Pythagorean Triple 7, 24, 25 Do you know any other ?

6. Pythagorean Triples If the sides of a Right triangle are integers, then the sides are known as a Pythagorean Triple 7, 24, 25 Do you know any other ? 3, 4, 5 5, 12, 13

7. Solve for x A Right Triangle

8. Solve for x A Right Triangle

9. Area and the Right Triangle Area equals ½ altitude times base A=½ab b and a are the same as the legs of a Right triangle.

10. 2 poles are supported by 100ft cables 50 ft from the ground How far are the poles apart?

11. 2 poles are supported by 100ft cables 50 ft from the ground How far are the poles apart?

12. 2 poles are supported by 100ft cables 50 ft from the ground How far are the poles apart?

13. Solve for y Use the Right Triangle

14. Solve for y Use the Right Triangle

15. Homework Page 538 – 541 # 8 – 24 even, 25 - 31, 33, 34, 39, 40

16. The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that knowledge of the theorem predates him. There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence that they fitted it into a mathematical framework. http://en.wikipedia.org/wiki/Pythagorean_theorem#Proof_using_similar_triangles