Answer:
[tex]8.49\ units[/tex]
Step-by-step explanation:
we know that
The Pythagorean Theorem states that in a right triangle
[tex]c^2=a^2+b^2[/tex]
where
c is the greater side (the hypotenuse)
a and b are the legs
In this problem
Let
c=AB ---> distance from point A to point B
a ---> the difference of the x-coordinates both points
b ---> the difference of the y-coordinates both points
so
[tex]a=1-(-5)=6\ units\\b=6-0=6\ units[/tex]
substitute
[tex]AB^2=6^2+6^2[/tex]
[tex]AB^2=72[/tex]
[tex]AB=\sqrt{72}\ units[/tex]
[tex]AB=8.49\ units[/tex]
