Objective- To solve problems involving the Pythagorean Theorem.

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Objective- To solve problems involving the Pythagorean Theorem.

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Presentation transcript:

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

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

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

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

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

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

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

Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Pythagorean Triples 3 4 5 5 12 13 7 24 25 6 8 10 10 24 26 14 48 50 9 12 15 15 36 39 21 72 75 12 16 20 12 9 15 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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