[tex]\begin{gathered} As\text{ we know,} \\ \text{The sum of the length of any two sides must be,} \\ \text{greater than the third side.} \\ So,\text{ Here is only two option which can be true} \\ 1st\text{ is }10miles\text{ and another is 16 miles} \\ \text{But the 10 miles can not be true,because school }is\text{ far away from home} \\ \text{Thus, the 16 miles will be correct.} \\ \text{Option D is correct.} \end{gathered}[/tex]