The triangle inequality theorem tells us that the sum of the two sides of a triangle must be longer than the third side.
So, to find the possible lengths of the third side of a triangle that ahs two sides measuring 10 and 14, we find the boundaries:
[tex]\begin{gathered} 14-10=4 \\ 14+10=24 \end{gathered}[/tex]The third side must therefore be longer than 4 but shorter than 24.
The answerrs are: A, D, E, and F.
