Question

Find the distance CD

Answer 1

CD ≈ 10.8

Explanation:

calculate the distance using the distance formula

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

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

CD =
`√((5-(-5)^2+(8-4)^2)`

=
`√((5+5)^2+4^2)`

=
`√(10^2+16)`

=
`√(100+16)`

=
`√(116)`

≈ 10.8 ( to the nearest tenth )