Answer:
F. the distance is [tex]\sqrt{61}[/tex]
Step-by-step explanation:
so this is a right triangle.
that means if the diagonal is missing, you can find it by doing [tex]a^{2} +b^{2} = c^{2}[/tex]
The "rays" of a triangle are the sides that you know which is 5 and 6. luckily they meet at a right angle. therefore you can plug them in for a and b.
[tex]6^{2} + 5^{2} = d^{2}[/tex]
6^2 equals 36
5^2 equals 25
36 + 25 is 61
now just add a square-root sign.
[tex]\sqrt{6} + \sqrt{5} = \sqrt{61}[/tex]