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)​