What is the smallest value you can get for BC?
What is the LARGEST value you can get for BC?
If "x" is the length of the third side ([math]\overline{BC}[/math]), write an inequality expressing the range of values for x.
If BC=2 or 8, triangle ABC is called a "degenerate triangle" (yes, really), which is why we don't typically include those values in our inequality. Describe what a degenerate triangle looks like.
What are the two new side lengths you picked?
Using your new side lengths, write an inequality expressing the possible lengths of the third side.
Two side lengths of a triangle are a and b. Let x be the length of the third side. Write an inequality expressing a range of values for x in terms of a and b. (In other words, what is the pattern that you noticed above? Can you write it generally?)