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Name Class Date Practice 5-5 Inequalities in Triangles Determine the two largest angles in each triangle. 1. 1 ft N M C 2. 3. 18 m 5.5 ft Q 14 m 6 ft 25 m B 4.1 cm 1.9 cm D S 4.0 cm R L P 4. I 7 cm All rights reserved. 5. 13 cm A 15 yd 39 cm 24 cm T K 20 yd 11 cm R S 6. 55 cm A 25 yd B Can a triangle have sides with the given lengths? Explain. 7. 4 m, 7 m, and 8 m 8. 6 m, 10 m, and 17 m 9. 4 in., 4 in., and 4 in. 10. 1 yd, 9 yd, and 9 yd 11. 11 m, 12 m, and 13 m 12. 18 ft, 20 ft, and 40 ft 13. 1.2 cm, 2.6 cm, and 4.9 cm 14. 8 21 yd, 9 14 yd, and 18 yd 15. 2.5 m, 3.5 m, and 6 m List the sides of each triangle in order from shortest to longest. B 16. C 47 17. L S 18. 75 © Pearson Education, Inc., publishing as Pearson Prentice Hall. T 41 56 O 107 R A B List the angles of each triangle in order from largest to smallest. 19. S 1.7 3.4 D 21. P S 20. 28 R 13 25 2.6 38 26 N A J 21 O The lengths of two sides of a triangle are given. Describe the lengths possible for the third side. 22. 4 in., 7 in. 23. 9 cm, 17 cm 24. 5 ft, 5 ft 25. 11 m, 20 m 26. 6 km, 8 km 27. 24 in., 37 in. Geometry Chapter 5 Lesson 5-5 Practice 5 Name Class Date Practice 5-3 Concurrent Lines, Medians, and Altitudes Find the center of the circle that circumscribes kLMN. y 4 M 1. 2. y 3. M 4 2 2 2 N L 4 2 2 4 x 2 4 2 2 4 All rights reserved. y M 4 4 2 4 6 8 x 2 L 2 N L N 4. Construct the angle bisectors for ABC. Then use the point of concurrency to construct an inscribed circle. B A C Is AB a perpendicular bisector, an angle bisector, an altitude, a median, or none of these? A 5. x 4 6. 7. A A B B © Pearson Education, Inc., publishing as Pearson Prentice Hall. B 9. A 8. B 10. B A A B For each triangle, give the coordinates of the point of concurrency of (a) the perpendicular bisectors of the sides and (b) the altitudes. 11. y y 12. 4 3 2 y 13. 4 4 2 2 1 1 1 1 2 3 4 Geometry Chapter 5 5 6 x 4 2 2 2 4 4 x 4 2 2 4 x 2 4 Lesson 5-3 Practice 3