Question

Find the distance between the two points
in simplest radical form.
(7, 1) and (4, 5)

Answer 1

5 units

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (7, 1 ) and (x₂, y₂ ) = (4, 5 )

d =
`√((4-7)^2+(5-1)^2)`

=
`√((-3)^2+4^2)`

=
`√(9+16)`

=
`√(25)`

= 5