Question

The endpoints of EF are E(1,3) and F(-2,8). Find EF.

Answer 1

Answer:

EF = $\sqrt{34}$ ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = $\sqrt{(-2-1)^2+(8-3)^2}$

    = $\sqrt{(-3)^2+5^2}$

    = $\sqrt{9+25}$

    = $\sqrt{34}$ ≈ 5.83 ( to 2 dec. places )