Question

Find the distance CD rounded to the nearest tenth

Answer 1

CD ≈ 15.0

Explanation:

calculate CD using the distance formula

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

with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)

CD =
`√((-8-7)^2+(-5-(-4))^2)`

=
`√(-15)^2+(-5+4)^2)`

=
`√(225+(-1)^2)`

=
`√(225+1)`

=
`√(226)`

≈ 15.0 ( to the nearest tenth )