Chp 8 Workbook

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NAME DATE PERIOD 8-2 Study Guide and Intervention (continued) The Pythagorean Theorem and Its Converse Converse of the Pythagorean Theorem If the sum of the squares of the lengths of the two shorter sides of a triangle equals the square of the lengths of the longest side, then the triangle is a right triangle. You can also use the lengths of sides to classify a triangle. if a 2 + b 2 = c 2 then △ABC is a right triangle. if a 2 + b 2 > c 2 then △ABC is acute. if a 2 + b 2 < c 2 then △ABC is obtuse. A b C If a 2 + b 2 = c 2 , then c a B △ABC is a right triangle. Example Determine whether △PQR is a right triangle. a 2 + b 2 c 2 Compare c 2 and a 2 + b 2 10 2 + (10 √ 3 ) 2 20 2 a = 10, b = 10 √ 3 , c = 20 20 10√3 10 100 + 300 400 Simplify. 400 = 400✔ Add. Since c 2 = and a 2 + b 2 , the triangle is a right triangle. Exercises Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer. 1. 30, 40, 50 2. 20, 30, 40 3. 18, 24, 30 4. 6, 8, 9 5. 6, 12, 18 6. 10, 15, 20 7. √ 5 , √ 12 , √ 13 8. 2, √ 8 , √ 12 9. 9, 40, 41 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 12 Glencoe Geometry
NAME DATE PERIOD 8-2 Skills Practice The Pythagorean Theorem and Its Converse Find x. 1. x 12 9 2. x 12 13 3. x 12 32 4. 12.5 x 5. 9 9 x 6. 31 x 14 25 8 Use a Pythagorean Triple to find x. 7. 5 x 12 8. 8 10 x 9. 20 12 x Lesson 8-2 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. 25 65 x 11. x 12. Determine whether each set of numbers can be measure of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer. 13. 7, 24, 25 14. 8, 14, 20 15. 12.5, 13, 26 40 24 x 48 50 16. 3 √ 2 , √ 7 , 4 17. 20, 21, 29 18. 32, 35, 70 Chapter 8 13 Glencoe Geometry
Page 1 and 2: Chapter 8 Resource Masters
Page 3 and 4: Contents Copyright © Glencoe/McGra
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Page 8 and 9: NAME DATE PERIOD 8 Student-Built Gl
Page 10 and 11: NOMBRE FECHA PERÍODO 8 Ejercicios
Page 12 and 13: NAME DATE PERIOD 8-1 Study Guide an
Page 14 and 15: NAME DATE PERIOD 8-1 Practice Geome
Page 16 and 17: NAME DATE PERIOD 8-1 Enrichment Mat
Page 20 and 21: NAME DATE PERIOD 8-2 Practice Find
Page 22 and 23: NAME DATE PERIOD 8-2 Enrichment Con
Page 26 and 27: NAME DATE PERIOD 8-3 Skills Practic
Page 28 and 29: NAME DATE PERIOD 8-3 Word Problem P
Page 30 and 31: NAME DATE PERIOD 8-4 Trigonometric
Page 48 and 49: NAME DATE PERIOD 8-6 Graphing Calcu
Page 52 and 53: NAME DATE PERIOD 8-7 Practice Vecto
Page 54 and 55: NAME DATE PERIOD 8-7 Enrichment Dot
Page 56 and 57: NAME DATE PERIOD 8 Rubric for Scori
Page 58 and 59: NAME DATE PERIOD 8 Chapter 8 Quiz 3
Page 60 and 61: NAME DATE PERIOD 8 Chapter 8 Vocabu
Page 62 and 63: NAME DATE PERIOD 8 Chapter 8 Test,
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NAME DATE PERIOD 8 Chapter 8 Test,
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NAME DATE PERIOD 8 Standardized Tes
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NAME DATE PERIOD 8 Standardized Tes
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