Answer:
AB = 13 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = B(- 5, 12) and (x₂, y₂ ) = A (0, 0)
d = [tex]\sqrt{(0+5)^2+(0-12)^2}[/tex]
= [tex]\sqrt{5^2+(-12)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
