Question

If A = (7,9) and B = (3 , 12) what is the length of AB

Answer 1

AB = 5 units

Explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)

AB =
`√((3-7)^2+(12-9)^2)`

=
`√((-4)^2+3^2)`

=
`√(16+9)`

=
`√(25)`

= 5