Will give brainlest

tl;dr: C.) [tex]\sqrt{ 41[/tex]
Hello!
First, what you want to do is use the formula below to help you find the length of the segment:
[tex]\sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1}) ^{2}[/tex]
Now, you'll want to fill in the equation with the points you have been given.
[tex]\sqrt{ ( 4-0 )^{2} + (0 - 5)^{2}[/tex]
Now, solve.
[tex]\sqrt{ 4^{2} + -5^{2}[/tex]
[tex]\sqrt{ 16 + 25[/tex]
[tex]\sqrt{ 41[/tex]
Therefore, you're answer is C.) [tex]\sqrt{ 41[/tex].
Hope that this was helpful. Have a great day!