Question

Find the distance between A(1,3) and B (7,6)

Answer 1

`√(45)`

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A (1, 3 ) and (x₂, y₂ ) = B (7, 6 )

d =
`√((7-1)^2+(6-3)^2)`

=
`√(6^2+3^3)`

=
`√(36+9)`

=
`√(45)`

≈ 6.7 ( to 1 dec. place )