NAME _____________________________________________ DATE __________________ PERIOD _________
Lesson 5 Homework 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.
26 in.
a in.
10 ft
8 ft
18 cm
c cm
24 in.
15 cm
b ft
8 + b = 102; 6 ft
2
4.
a yd
14 yd
a 2 + 24 2 = 26 2; 10 in.
2
5.
28 yd
18 2 + 15 2 = c 2; 23.4 cm
6.
50 mm
c mm
cm
45 m
64 m
50 mm
a 2 + 14 2 = 28 2; 24.2 yd
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
7. a, 65 cm; c, 95 cm
65 2 + b 2 = 95 2; 69.3 cm
50 2 + 50 2 = c 2; 70.7 mm 45 2 + 64 2 = c 2; 78.2 m
8. a, 16 yd; b, 22 yd
16 2 + 22 2 = c 2; 27.2 yd
Determine whether each triangle with sides of given lengths is a
right triangle. Justify your answer.
9. 18 ft, 23 ft, 29 ft no;
18 2 + 23 2 = 853 ≠ 29 2
yes;
7 2 + 24 2 = 625 = 25 2
10. 7 yd, 24 yd, 25 yd
11. The hypotenuse of a right triangle is 15 inches, and one of its legs is
11 inches. Find the length of the other leg. about 10.2 in.
12. A leg of a right triangle is 30 meters long, and the hypotenuse is
35 meters long. What is the length of the other leg? about 18.0 m
13. TELEVISIONS The diagonal of a television measures 27 inches. If the width
of a 27-inch is 22 inches, calculate its height to the nearest inch. 16 in.
Course 3 • Chapter 5 Triangles and the Pythagorean Theorem
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