Question

Find the length of segment AB with endpoints (1, 4) and (2, 6).

Answer 1

AB ≈ 2.24 units

Explanation:

calculate the length of AB using the distance formula

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

let (x₁. y₁ ) = (1, 4 ) and (x₂, y₂ ) = (2, 6 )

substitute these values into the distance formula

AB =
`√((2-1)^2+(6-4)^2)`

=
`√(1^2+2^2)`

=
`√(1+4)`

=
`√(5)`

≈ 2.24 units ( to 2 decimal places )