Question

What is the distance between (2,2) and (7,7)

Answer 1

5
`√(2)`

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (7, 7 )

d =
`√((7-2)^2+(7-2)^2)`

=
`√(5^2+5^2)`

=
`√(25+25)`

=
`√(50)`

=
`√(25(2))`

=
`√(25)` ×
`√(2)` = 5
`√(2)` ≈ 7.07 ( to 2 dec. places )