Question

Which expression can be used to determine the length of segment AB?

Answer 1

Option A is correct.

AB =

Step-by-step explanation:

From the figure, we have the coordinates:

A= (4, 3) and B = (-2, 1)

Using distance formula(D) for two points and is given by;

Using the points of A = (4, 3) and B = (-2, 1)

By distance formula:

Length of AB =

=

Therefore, the length of line segment AB =

Answer 2

see explanation

Explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB =
`√((-2-4)^2+(1-3)^2)`

=
`√((-6)^2+(-2)^2)`

=
`√(36+4)`

=
`√(40)`

=
`√(4(10))` =
`√(4)` ×
`√(10)` = 2
`√(10)` ← exact length