To find out if three pieces can make a triangle, we can use something called the Triangle Inequality Theorem.

This theorem says that for any three lengths, which we’ll call (a), (b), and (c), you need to check these three rules:

1. (a + b > c)
2. (a + c > b)
3. (b + c > a)

If all three rules are true, then those lengths can indeed make a triangle!

Example:
Let’s look at three lengths: 4, 5, and 6. We will check:

• (4 + 5 > 6) (This is True)
• (4 + 6 > 5) (This is True)
• (5 + 6 > 4) (This is True)

Since all three checks work out, these pieces can make a triangle!