Question

Whats the length of BD

Answer 1

A

Explanation:

calculate the length of BD using the distance formula

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

let (x₁, y₁ ) = B (- 4, 2 ) and (x₂, y₂ ) = D (2, 6 )

substitute these values into the formula for d

AB =
`√((2-(-4))^2+(6-2)^2)`

=
`√((2+4)^2+4^2)`

=
`√(6^2+16)`

=
`√(36+16)`

=
`√(52)`

=
`√(4(13))`

=
`√(4)` ×
`√(13)`

= 2
`√(13)`