Question

Determine if each set of side lengths could be used to create a triangle. *Explain your reasoning.*

Answer 1

Answer:

See below

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths $a$, $b$, and $c$, where $c$ is the longest side, then $a+b\geq c$

Problem A

This set of side lengths creates a triangle since $2+6\geq7$

Problem B

This set of side lengths creates a triangle since $3+3\geq 3$, 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 $5+7\geq 12$