Question

Find the distance between (2, 5) and (-5, 8).
58
√58
2√43
2

Answer 1

d =
`√(58)`

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, 5 ) and (x₂, y₂ ) = (- 5, 8 )

d =
`√((-5-2)^2+(8-5)^2)`

=
`√((-7)^2+3^2)`

=
`√(49+9)`

=
`√(58)`