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Objective- To solve problems involving the Pythagorean Theorem.

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Presentation on theme: "Objective- To solve problems involving the Pythagorean Theorem."— Presentation transcript:

1 Objective- To solve problems involving the Pythagorean Theorem.
Lesson 6.6 Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse - always opposite the right angle leg leg Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

2 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! hypotenuse c leg a b leg Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

3 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! hypotenuse c a b b a Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

4 Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only! Pythagorean Theorem c a b Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

5 Solve for x. x 6 8 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

6 Solve for y. 7 4 y Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

7 Solve for t. 6 t 15 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

8 Pythagorean Triples Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

9 Pythagorean Triples 12 9 15 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

10 To the nearest tenth of a foot, find the length
of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. x 4 ft. 10 ft. Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

11 A car drives 20 miles due east and then 45 miles
due south. To the nearest hundredth of a mile, how far is the car from its starting point? 20 miles x 45 miles Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

12 Informal Proof #1 Inscribe a square within the square.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

13 Informal Proof #1 a b c a b c c b c a b a
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

14 Informal Proof #1 a b c a b c a b c c b c a b a
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

15 Informal Proof #1 a b c b c a c b c a b a
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

16 Informal Proof #1 a b c b c b c a a c b c a b a
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

17 Informal Proof #1 a b c b c b c a a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

18 Informal Proof #1 a b c b c b c a a b c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

19 Informal Proof #1 a b c c b a b c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

20 Informal Proof #1 a b c c b a b c a c a c a b b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

21 Informal Proof #1 a b c c b a b c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

22 Informal Proof #1 a b c c b a b c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

23 Informal Proof #1 a b c a c b b c a b c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

24 Informal Proof #1 a c b b c a c b b a c a c a b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

25 Informal Proof #1 a b c c b b a c a c a a c b b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

26 Informal Proof #1 a b c c b b a b c a c a a c b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

27 Informal Proof #1 a b c c b a b c a a c b
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

28 Informal Proof #2 - - a + b a b c a b c c b c a b a = =
Total Purple Yellow Area Area Area - = a b - c a = b c c b c a b a Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

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