Determine if each set of side lengths could be used to create a triangle. *Explain your reasoning.* a. 2 cm, 6 cm, 7 cm
b. 3 cm, 3 cm, 3 cm
c. 5 cm, 7 cm, 12 cm

See below

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths , , and , where is the longest side, then

Problem A

This set of side lengths creates a triangle since

Problem B

This set of side lengths creates a triangle since , which is known as  an equilateral triangle since all of its side lengths are equal to each other

Problem C

This set of side lengths creates a triangle since