Question

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

Answer 1

AB ≈ 6.71

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 =
`√((5-(-1))^2+(3-6)^2)`

=
`√((5+1)^2+(-3)^2)`

=
`√(6^2+9)`

=
`√(36+9)`

=
`√(45)`

≈ 6.71 ( to 3 significant figures )