## Geometry: Common Core (15th Edition)

Using the Triangle Inequality Theorem, we need to see if the sum of each of the combinations of two sides is greater than the other side: $11 + 12 > 15$ --> This statement is true. $12 + 15 > 11$ --> This statement is true. $11 + 15 > 12$ --> This statement is true. A triangle can have these lengths for its sides because all combinations of two sides added together are greater than the third side.