Question

What is the distance between 5,4 and -1,1

Answer 1

3
`√(5)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d =
`√((-1-5)^2+(1-4)^2)`

=
`√((-6)^2+(-3)^2)`

=
`√(36+9)`

=
`√(45)`

= 3
`√(5)` ← exact value

≈ 6.71 ( to 2 dec. places )