Question

Find the length of CD with endpoints (8,1) and (3,7)

Answer 1

CD ≈ 7.8 units

Explanation:

calculate the length of CD using the distance formula

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

let (x₁, y₁ ) = (8, 1 ) and (x₂, y₂ ) = (3, 7 )

substitute these values into the formula for d

d =
`√((3-8)^2+(7-1)^2)`

=
`√((-5)^2+6^2)`

=
`√(25+36)`

=
`√(61)`

≈ 7.8 ( to 1 decimal place )

CD ≈ 7.8 units