Skills Practice Workbook - Glencoe

7–4
NAME DATE PERIOD
Skills Practice
Triangle Inequality Theorem
Determine if the three numbers can be measures of the sides of a triangle. Write yes
or no. Explain.
1. 6, 7, 8 yes; 2. 1, 1, 2 no; 3. 2, 4, 6 no;
6 � 7 � 8, 1 � 1 � 2 2� 4 � 6
7 � 8 � 6,
6 � 8 � 7
4. 5, 8, 10 yes; 5. 10, 20, 30 no; 6. 3, 4, 5 yes;
5 � 8 � 10, 10 � 20 � 30 3 � 4 � 5,
8 � 10 � 5, 4 � 5 � 3,
5 � 10 � 8 3 � 5 � 4
7. 3, 5, 7 yes; 8. 6, 12, 24 no; 9. 1, 7, 10 no;
3 � 5 � 7, 6 � 12 � 24 1 � 7 � 10
5 � 7 � 3,
3 � 7 � 5
10. 10, 15, 26 no; 11. 8, 12, 19 yes; 12. 4, 7, 10 yes;
10 � 15 � 26 8 � 12 � 19, 4 � 7 � 10,
12 � 19 � 8, 7 � 10 � 4,
8 � 19 � 12 4 � 10 � 7
Find the range of possible measures for the third side of a triangle with the measures
given for two sides.
13. 7, 13 6 � x � 20 14. 20, 25 5 � x � 45 15. 1, 5 4 � x � 6
16. 32, 38 6 � x � 70 17. 50 ,70 20 � x � 120 18. 8, 20 12 � x � 28
19. 55, 10 45 � x � 65 20. 2, 10 8 � x � 12 21. 60, 70 10 � x � 130
22. 45, 70 25 � x � 115 23. 9, 19 10 � x � 28 24. 100, 120 20 � x � 220
© Glencoe/McGraw-Hill 41 Geometry: Concepts and Applications