Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve...
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Transcript of Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve...
![Page 1: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/1.jpg)
Chapter 10.1Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Objectives – To solve problems using the Pythagorean Theorem. To identify right triangles.
![Page 2: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/2.jpg)
Ch 10.1 NotesThe Pythagorean Theorem
a c
b
Pythagorean Triple – a, b, & c are whole numbers
![Page 3: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/3.jpg)
Examples
1) 3 x 4
2) 10 26
x
![Page 4: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/4.jpg)
Chapter 10.2Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.
Objectives – To simplify radicals involving products and quotients.
![Page 5: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/5.jpg)
Ch 10.2 NotesSimplifying Radicals = 2 = 9 = 3 = 10 = 4 = 11 =5 = 12 = 6 = 7 = 8
![Page 6: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/6.jpg)
ExamplesSimplify the Radicals1) 2) 3)
4) 5) 6)
![Page 7: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/7.jpg)
7) 8) 9)
10) 11) 12)
![Page 8: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/8.jpg)
Chapter 10.3Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.
Objectives – To simplify sums and differences of radical expressions. To simplify products and quotients of radical expressions. .
![Page 9: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/9.jpg)
Ch 10.3 NotesOperations with Radical ExpressionsSimplify the following:1) 7 - 12 2) 5 - 2 + 3
3) 5 - 4) 4 + 2
![Page 10: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/10.jpg)
5) ( + 3) 6) ( - 5)
7) ( + 3) ( - 3) 8) ( - 7) (5 + 7)
![Page 11: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/11.jpg)
9) 10)
![Page 12: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/12.jpg)
Chapter 10.4Common Core – A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions my arise.
Objectives – To solve equations containing radicals. To identify extraneous solutions.
![Page 13: Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.](https://reader035.fdocuments.us/reader035/viewer/2022081506/5697c0251a28abf838cd576c/html5/thumbnails/13.jpg)
Ch 10.4 NotesSolving Radical ExpressionsSolve the following:1) + 7 = 16 2) - 5 = -2
3) = 4) x =
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5) + 8 = 2 6) 3 - = 12