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Example: Determine if the given side lengths form a triangle. a) 4, 5, 10 b) 4, 5, 9 c) 4, 5, 7 Practice: The triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using this theorem, answer the following questions. 1) If two sides of a triangle are 1 and 3, the third side may be: (a) 5 (b) 2 (c) 3 (d) 4 2) If the lengths of two sides of a triangle are 5 and 7, the length of the third side may not be: (a) 12 (b) 7 (c) 3 (d) 5 3) Which set of numbers may represent the lengths of the sides of a triangle? (a) {2,5,9} (b) {6,6,7} (c) {6,4,2} (d) {7,8,1} 4) If the lengths of two sides of a triangle are 4 and 10, which could be the length of the third side? (a) 6 (b) 8 (c) 14 (d) 16 5) If the lengths of two sides of a triangle measure 7 and 12, the length of the third side could measure: (a)16 (b) 19 (c) 3 (d) 5 6) Two sides of an isosceles triangle have lengths 2 and 12, respectively. 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