Question

Find the distance between (1,2) and (5,5).

5-
4-
3-
2-
1-
(1,2)
distance?

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 ) = (1, 2 ) and (x₂, y₂ ) = (5, 5 )

d =
`√((5-1)^2+(5-2)^2)`

=
`√(4^2+3^2)`

=
`√(16+9)`

=
`√(25)`

= 5