Question

Find the length of CD

Answer 1

D

Explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(3, - 2) and (x₂, y₂ ) = D(7, - 8)

CD =
`√((7-3)^2+(-8+2)^2)`

=
`√(4^2+(-6)^2)`

=
`√(16+36)`

=
`√(52)` ≈ 7.2 → D

Answer 2

Length of CD is 7.2 unit approx Option D.

Explanation:

Given,

The two points are C(3,-2) and D(7,-8).

To find the length of CD.

Formula

The distance of two points (
`x_(1) ,y_(1)`) and (
`x_(2) ,y_(2)`) is
`\sqrt{(x_(2)-x_(1) )^(2) +(y_(2)-y_(1) ) ^(2) }`

Now,

Putting,

`x_(1)= 3,y_(1)=-2, x_(2)=7, y_(2)=-8` we get,

CD =
`\sqrt{(7-3)^(2)+(-8+2)^(2) }`

=
`√(52)` = 7.2 (approx)