Name
Class
5-7
Date
Practice
Inequalities in One Triangle
Explain why m  5 > m  2.
1.
Explain why m  1 > m  4.
2.
For Exercises 3–6, list the angles of each triangle in order from smallest to largest.
2.9
3
3.
X+1
X+2
4. 1
X
3.1
5.
6.
4Y
3Y
5Y
For Exercises 7–10, list the sides of each triangle in order from shortest to
longest.
7.
8.
63
65
47
40
9. ΔABC, with m  A = 46 and m  B = 30
10. ΔABC, with m  A = 101 and m  B = 70
For Exercises 11 and 12, list the angles of each triangle in order from smallest to
largest.
11. ΔABC, where AB = 17, AC = 21, and BC = 18
12. ΔMNO, where MN = 15, NO = 16, and MO = 17
Name
Class
5-7
Practice (continued)
Inequalities in One Triangle
Determine which side is shortest in the diagram.
13.
14.
Can a triangle have sides with the given lengths? Explain.
15. 4 cm, 8 cm, 2 cm
16. 12 ft, 11 ft, 17 ft
17. 10 in., 2 in., 13 in.
18. 3 m, 4.5 m, 7.2 m
Algebra The lengths of two sides of a triangle are given. Describe the possible
lengths for the third side.
19. 5, 12
20. 12, 10
21. 25, 15
22. 6, 12
23. Algebra List the sides in order from shortest to longest in ΔPQR, with
m  P = 9x + 29, m  Q = 93 – 5x, and m  R = 10x + 2.
24. Algebra List the sides in order from shortest to longest in ΔABC, with
m  A = 5x + 2, m  B = 6x – 10, and m  C = x + 20.
25. Error Analysis A student draws a triangle with a perimeter 48 cm. The
student says that the longest side measures 24 cm. How do you know that
the student is incorrect? Explain.
Date