Answer:
See below
Step-by-step explanation:
By the Triangle Inequality Theorem, if given side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]c[/tex] is the longest side, then [tex]a+b\geq c[/tex]
Problem A
This set of side lengths creates a triangle since [tex]2+6\geq7[/tex]
Problem B
This set of side lengths creates a triangle since [tex]3+3\geq 3[/tex], 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 [tex]5+7\geq 12[/tex]
