Pre-Algebra Chapter 9

Practice and Apply
Homework Help
For
Exercises
See
Examples
10–15 1
16, 17 3
18–27 2
28–33 4
Extra Practice
See page 746.
Find the length of the hypotenuse in each right triangle. Round to the
nearest tenth, if necessary.
10. 11. 24 in. 12.
6 m
13. 14. 7.2 cm
15.
6 ft
11 ft
c m
8 m
c ft
10 in.
c cm
c in.
2.7 cm
12.8 m
c yd
9 yd
c m
13.9 m
5 yd
Gymnastics
The floor exercise mat
is a square of plywood
covered by a 2-inch
padding and mounted
on 4" springs.
Source: The Gymnastics Place!
16. GYMNASTICS The floor exercise mat measures 40 feet by 40 feet. Find
the measure of the diagonal.
17. TELEVISION The size of a television set is determined by the length of
the diagonal of the screen. If a 35-inch television screen is 26 inches long,
what is its height to the nearest inch?
If c is the measure of the hypotenuse, find each missing measure. Round
to the nearest tenth, if necessary.
18. a 9, b ?, c 41 19. a ?, b 35, c 37
20. a ?, b 12, c 19 21. a 7, b ?, c 14
22. a 27, b ?, c 61 23. a ?, b 73, c 82
24. a ?, b 123 , c 22 25. a 177 , b ?, c 31
Find each missing measure to the nearest tenth.
26. 27.
17 m
www.pre-alg.com/self_check_quiz
x m
28 m
The lengths of three sides of a triangle are given. Determine whether
each triangle is a right triangle.
28. a 5, b 8, c 9 29. a 16, b 30, c 34
30. a 18, b 24, c 30 31. a 24, b 28, c 32
32. a 21, b 6, c 57 33. a 11, b 55, c 177
ART For Exercises 34 and 35, use the
plasterwork design shown.
34. If the sides of the square measures 6 inches,
what is the length of AB?
35. What is the perimeter of the design if AB
measures 128 ? (Hint: Use the guessand-check
strategy.)
x ft
A
30 ft
45 ft
Lesson 9-5 The Pythagorean Theorem 463
B