1. 2 nd hour

3. Use a calculator to find each value. Round to the nearest hundredth. 1. 2. 3. 4. 5.48 3.74 7.42 6.93 Before the Bell: 3.8A

4. Check your answers to 3.7

5. Today’s learning Target: 3.8A 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.

6. Vocabulary 3.8A Right Triangle - has one right angle A C B a b c Leg Hypotenuse - has 2 legs - has 1 hypotenuse

7. Pythagorean Theorem: Vocabulary 3.8A 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

8. 4 5 c 6.40  c Pythagorean Theorem Substitute for a and b. a 2 + b 2 = c 2 4 2 + 5 2 = c 2 16 + 25 = c 2 41 = c Simplify powers. Solve for c; c = c 2. Find the length of the hypotenuse to the nearest hundredth. 41 = c 2 3.8A

9. 5 7 c 8.60  c Pythagorean Theorem Substitute for a and b. a 2 + b 2 = c 2 5 2 + 7 2 = c 2 25 + 49 = c 2 74 = c Simplify powers. Solve for c; c = c 2. Find the length of the hypotenuse to the nearest hundredth. 3.8A

10. triangle with coordinates (–2, –2), (–2, 4), and (3, –2) ‏ x y The points form a right triangle. (–2, –2) ‏ (–2, 4) ‏ (3, –2) ‏ 7.81  c Pythagorean Theorem a 2 + b 2 = c 2 6 2 + 5 2 = c 2 36 + 25 = c 2 61 = c Simplify powers. Solve for c; c = c 2. Substitute for a and b. Find the length of the hypotenuse to the nearest hundredth. 3.8A

11. Three sides of a triangle are given. Determine if each is a right triangle. a) 3, 4, 5b) 7, 8, 12

12. Identify the length of side c to the nearest meter. A. 9 m B. 10 m C. 11 m D. 12 m Did you master today’s learning target? 3.8A

13. Assignment: Section 3.8A Page 134, 1-3, 9-11, 17, 19, 24, 31 3.8A

14. 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. 38. Between 5,6 39. Between 7,8 40. Between 9,10 41. Between -11, -12 42. 14.21 43. 13.56 44. 21.49 45. 17.86 46. 38.2 x 38.2 47. irrational, real 48. rational, real 49. natural, whole Integer, rational,real 50. integer, rational, real 51. Rational 52. Not real 53. Irrational 54. Not real 55. 5 3/16 56. 4 ½ 57. 3 11/14