Observe that it is possible to build a triangle with toothpicks that has sides of 3, 4, and 5 toothpicks, as shown, answer the questions that follow.
a. Find two other triples of toothpicks that can be used as sides of a triangle and two other triples that cannot be used to create a triangle.
b. Describe how to tell whether a given triple of numbers a, b, c can be used to construct a triangle with sides of a, b, and c toothpicks.
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