Answer:
10 units
Step-by-step explanation:
In the given figure, we may plot a point B with the coordinate pair (-5,-1).
Lets now draw a triangle ABC by connecting A and C with B perpendicularly.
We now know that,
AB = 5+3 = 8 units
CB=1+5= 6 units
[tex]As\ the\ drawn\ triangle\ is\ a\ right\ triangle, \ as\ angle\ CBA\ is\ 90\ degrees.\\Through\ Pythagoras\ Property,\ we\ may\ conclude\ that\ :\\ AB^{2} + BC^2 = CA ^2\\Hence, \\8^2+6^2=AC^2\\64+36=AC^2\\100=AC^2\\AC=10[/tex]
