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Geometry Worksheet 5.5 Use Inequalities in One Triangle Name _______________ 1. Name the shortest and longest segments in !BCD . 2. Name the shortest and longest segments in !ABD . 3. What is the shortest segment in the figure? 4. Which segments are longer than BD ? 5. A triangle has coordinates A (0,0), B (5,1), and C (2,4). List the angles from least to greatest. 6. If m ! M = 4x+20, m ! N = 2x + 5, m ! O = 3x + 20, list the sides of ! MNO in order from longest to shortest. Is it possible for the side lengths of triangles to have the following measures? 7. 3 cm, 3 cm, 3 cm 8. 1 in, 2 in, 3 in 9. 19m, 19 m, .01 m Two side of a triangle are 21 and 24 inches. Is it possible for the given length to be the third side? 10. 3 inches 11. 56 inches 12. 40 inches In Exercises 13–14, m∠A < m∠B< m∠C. Describe the possible values of x. 13. 14.