Respuesta :

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Calculate the length using the distance formula

• d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(0, 6) and (x₂, y₂ ) = B(7, 0)

AB = [tex]\sqrt{(7-0)^2+(0-6)^2}[/tex]

     = [tex]\sqrt{7^2+(-6)^2}[/tex]

     = [tex]\sqrt{49+36}[/tex] = [tex]\sqrt{85}[/tex]