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Geometry Name ______________________ Period ___________ Date ___________ GP 5.5 – Inequalities in a Triangle List the sides and the angles in order from smallest to largest. 1. 2. 3. Sides: _____ , _____ , _____. _____ , _____ , _____. _____ , _____ , _____. Angles: _____ , _____ , _____. _____ , _____ , _____. _____ , _____ , _____. 4. Sketch and label the triangle described. Side lengths: 37, 35, and 12, with the shortest side on the right Angle measures: 71°, 19°, and 90°, with the right angle at the top. 5. A triangle has one side that has a length of 15 and another with a length of 8. Determine the possible lengths of the 3rd side. Small values of x Large values of x Is it possible to construct a triangle with the given side lengths? If not, explain why not. 6. 8, 2, 9 7. 20, 3, 23 8. 8, 4, 3 Describe the possible lengths of the third side of the triangle given the lengths of the other two sides. 9. 8 in., 12 in. 10. 14 ft, 4 ft 11. Describe the possible values for x. 12. 13. a. Given GHF, what are the possible lengths for GF, GH, and HF? b. The perimeter of GHF must be between what 2 integers? 9 m, 9 m