Answer:
EF = [tex]\sqrt{34}[/tex] ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]
= [tex]\sqrt{(-3)^2+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex]
= [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )
