2 nd hour 2 nd hour 3 8
- Slides: 14
2 nd hour
2 nd hour
3. 8 A Before the Bell: Use a calculator to find each value. Round to the nearest hundredth. 1. 5. 48 2. 3. 74 3. 7. 42 4. 6. 93
Check your answers to 3. 7
3. 8 A Today’s learning Target: I can use the Pythagorean Theorem to find the hypotenuse of a right triangle. I can use the converse of the Pythagorean Theorem to determine if given sides make a right triangle.
Vocabulary 3. 8 A Right Triangle A Hypotenuse c Leg - has one right angle - has 2 legs - has 1 hypotenuse b C a Leg B
3. 8 A Vocabulary Pythagorean Theorem: If a triangle is a right triangle, then a 2 + b 2 = c 2 Converse of Pythagorean Theorem: If a 2 + b 2 = c 2 then, it is a right triangle
3. 8 A Find the length of the hypotenuse to the nearest hundredth. c 4 5 a 2 + b 2 = c 2 42 + 5 2 = c 2 16 + 25 = c 2 41 = c 6. 40 c Pythagorean Theorem Substitute for a and b. Simplify powers. Solve for c; c = c 2.
3. 8 A Find the length of the hypotenuse to the nearest hundredth. c 5 7 a 2 + b 2 = c 2 52 + 7 2 = c 2 25 + 49 = c 2 74 = c 8. 60 c Pythagorean Theorem Substitute for a and b. Simplify powers. Solve for c; c = c 2.
3. 8 A Find the length of the hypotenuse to the nearest hundredth. triangle with coordinates (– 2, – 2), (– 2, 4), and (3, – 2) (– 2, 4) y The points form a right triangle. x (– 2, – 2) (3, – 2) a 2 + b 2 = c 2 62 + 5 2 = c 2 36 + 25 = c 2 61 = c 7. 81 c Pythagorean Theorem Substitute for a and b. Simplify powers. Solve for c; c = c 2.
Three sides of a triangle are given. Determine if each is a right triangle. a) 3, 4, 5 b) 7, 8, 12
3. 8 A Did you master today’s learning target? Identify the length of side c to the nearest meter. A. 9 m B. 10 m C. 11 m D. 12 m
3. 8 A Assignment: Section 3. 8 A Page 134, 1 -3, 9 -11, 17, 19, 24, 31
Answers to yesterday’s review: 29. 5, -5 30. 7, -7 31. 17, -17 32. 13, -13 33. 4 34. 21 35. 12 36. 5 37. 41 ft. x 41 ft. 47. irrational, real 48. rational, real 38. Between 5, 6 49. natural, whole 39. Between 7, 8 Integer, rational, real 40. Between 9, 10 50. integer, rational, real 41. Between -11, -12 51. Rational 42. 14. 21 52. Not real 43. 13. 56 53. Irrational 44. 21. 49 54. Not real 45. 17. 86 55. 5 3/16 46. 38. 2 x 38. 2 56. 4 ½ 57. 3 11/14
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