Question

Workout the length of AB. Give your answers to 3 significant figures.

Answer 1

Answer:

AB ≈ 6.71

Step-by-step explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)

AB = $\sqrt{(5-(-1))^2+(3-6)^2}$

    = $\sqrt{(5+1)^2+(-3)^2}$

    = $\sqrt{6^2+9}$

    = $\sqrt{36+9}$

    = $\sqrt{45}$

    ≈ 6.71 ( to 3 significant figures )