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Geometry A
5.5 Worksheet
Name _________________________________
Date ___________________
Hour ______
USE INEQUALITIES IN A TRIANGLE
List the angles and sides of each triangle in order from smallest to largest.
1.
2.
3.
4.
5.
6.
Is it possible to construct a triangle with the given side lengths? If not, explain why not.
7. 9, 12, 18
8. 8, 9, 17
9. 14, 14, 19
10. 23, 26, 50
11. 32, 41, 63
12. 2.7, 3.1, 4.3
13. 2 ft, 3 ft, 4 ft
14. 5 m, 7 m, 9 m
15. 4 mm, 8 mm, 11 mm
16. 13 in., 13 in., 26 in.
17. 9 cm, 10 cm, 20 cm
18. 15 km, 17 km, 19 km
Describe the possible lengths of the third side of the triangle given the lengths of the other two
sides.
19. 6 ft and 19 ft
20. 7 km and 29 km
21. 13 in. and 27 in.
22. 18 ft and 23 ft
23. 25 yd and 38 yd
24. 31 cm and 39 cm
25. 5 ft, 9 ft
26. 7 in., 14 in.
27. 8 m, 13 m
28. 10 mm, 12 mm
29. 12 yd, 15 yd
30. 15 km, 27 km
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