Answer:
Hello!!! Princess Sakura here ^^
Explanation:
So first you should remember that....
![a^(2) +b^(2) =c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xn5252v74o5ksp7zi896eac8d0vg4u4lkk.png)
then you should plug in...
![8^(2)+16^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rc5cwkds3vouz2l45fk3uez3pceg52evaz.png)
that should equal...
![c^(2)=320](https://img.qammunity.org/2021/formulas/mathematics/high-school/jcbflpyxzzr961iq3xh8edx8udtfvr87go.png)
Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...
![\sqrt{c^(2) } =√(320)](https://img.qammunity.org/2021/formulas/mathematics/high-school/p8yra37q9k1tmsdp97gmr09en3rgfm88tn.png)
![c=17.88854382...](https://img.qammunity.org/2021/formulas/mathematics/high-school/woxrgp7f8bmo2hgcblz8r2whijxd2q3mqt.png)
Then you have to round it to the nearest tenths, which'll give you...
![17.9](https://img.qammunity.org/2021/formulas/mathematics/high-school/9dkqry4fqyj60vom3k424utnnx9qu49ya6.png)
choice D