#### Answer

A triangle cannot have these lengths for its sides.

#### Work Step by Step

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:
$10 + 19 > 8$ --> This statement is true.
$8 + 19 > 10$ --> This statement is true.
$8 + 10 > 19$ --> This statement is false.
A triangle cannot have these lengths for its sides because two of the sides added together are not greater than the third side.