NAME DATE PERIOD Lesson 5 Skills Practice

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.

1.

8 in.

c in.

2.

10 m 5 m

a m

3.

3 cm

b cm 11 cm

7 in.

72 + 82 = c2; 10.6 in.

a2 + 52 = 102; 8.7 m

32 + b2 = 112; 10.6 cm

4.

18 ft

5.

6.

15 ft c ft

24 yd

30 yd

20 ft

b ft

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182 + 152 = c2; 23.4 ft

a yd

a2 + 242 = 302; 18 yd

13 ft

132 + b2 = 202; 15.2 ft

7. a = 1 m, b = 3 m

12 + 32 = c2; 3.2 m

8. a = 2 in., c = 5 in.

22 + b2 = 52; 4.6 in.

9. b = 4 ft, c = 7 ft

a2 + 42 = 72; a = 5.7 ft

10. a = 4 km, b = 9 km

42 + 92 = c2; 9.8 km

11. a = 10 yd, c = 18 yd

102 + b2 = 182; 15.0 yd

12. b = 18 ft, c = 20 ft

a2 + 182 = 202; 8.7 ft

13. a = 5 yd, b = 11 yd

52 + 112 = c2; 12.1 yd

14. a = 12 cm, c = 16 cm

122 + b2 = 162; 10.6 cm

15. b = 22 m, c = 25 m

a2 + 222 = 252; 11.9 m

16. a = 21 ft, b = 72 ft

212 + 722 = c2; 75 ft

17. a = 36 yd, c = 60 yd

362 + b2 = 602; 48 yd

18. b = 25 mm, c = 65 mm

a2 + 252 = 652; 60 mm

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer.

19. 10 yd, 15 yd, 20 yd no; 102 + 152 = 325 202

20. 21 ft, 28 ft, 35 ft yes; 212 + 282 = 1,225 = 352

21. 7 cm, 14 cm, 16 cm no; 72 + 142 = 245 162

22. 40 m, 42 m, 58 m yes; 402 + 422 = 3,364 = 582

23. 24 in., 32 in., 38 in. no; 242 + 322 = 1,600 382

24. 15 mm, 18 mm, 24 mm no; 152 + 182 = 549 242

84

Course 3 ? Chapter 5 Triangles and the Pythagorean Theorem

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