University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
Views:

355

Pages:

1
Author:

Quintin Ware

NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 5 Skills Practice The Pythagorean Theorem Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary. 2. 1. 3. 10 m 3 cm 5m c in. 8 in. b cm 11 cm am 7 in. 72 + 82 = c2; 10.6 in. a2 + 52 = 102; 8.7 m 18 ft 4. 5. c ft 18 + 15 = c ; 23.4 ft 2 2 42 + 92 = c2; 9.8 km 2 11. a = 10 yd, c = 18 yd 12. b = 18 ft, c = 20 ft 10 + b = 18 ; 15.0 yd 2 2 a2 + 182 = 202; 8.7 ft 2 13. a = 5 yd, b = 11 yd 14. a = 12 cm, c = 16 cm 5 + 11 = c ; 12.1 yd 2 2 122 + b2 = 162; 10.6 cm 2 15. b = 22 m, c = 25 m 16. a = 21 ft, b = 72 ft a + 22 = 25 ; 11.9 m 2 2 212 + 722 = c2; 75 ft 2 17. a = 36 yd, c = 60 yd 18. b = 25 mm, c = 65 mm 36 + b = 60 ; 48 yd 2 2 13 + b2 = 202; 15.2 ft 2 10. a = 4 km, b = 9 km a + 4 = 7 ; a = 5.7 ft 2 13 ft 2 22 + b2 = 52; 4.6 in. 2 9. b = 4 ft, c = 7 ft 2 a yd 2 b ft 8. a = 2 in., c = 5 in. 1 + 3 = c ; 3.2 m 2 20 ft 30 yd a + 24 = 30 ; 18 yd 2 7. a = 1 m, b = 3 m 2 6. 24 yd 15 ft 2 32 + b2 = 112; 10.6 cm a2 + 252 = 652; 60 mm 2 Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 19. 10 yd, 15 yd, 20 yd no; yes; 21 + 28 = 1,225 = 352 20. 21 ft, 28 ft, 35 ft 102 + 152 = 325 ≠ 202 2 22. 40 m, 42 m, 58 m yes; no; 7 + 14 = 245 ≠ 162 21. 7 cm, 14 cm, 16 cm 2 402 + 422 = 3,364 = 582 2 23. 24 in., 32 in., 38 in. no; 84 2 no; 24. 15 mm, 18 mm, 24 mm 24 + 32 = 1,600 ≠ 38 2 2 2 15 + 18 = 549 ≠ 24 2 2 2 Course 3 • Chapter 5 Triangles and the Pythagorean Theorem