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 two sides is greater than another side:
$4 + 10 > 5$ --> This statement is true.
$5 + 10 > 4$ --> This statement is true.
$4 + 5 > 10$ --> This statement is false.
Therefore, a triangle cannot have these lengths for its sides.
