Question

Find the length of CD

Answer 1

Answer:

D

Step-by-step 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 = $\sqrt{(7-3)^2+(-8+2)^2}$

      = $\sqrt{4^2+(-6)^2}$

      = $\sqrt{16+36}$

       = $\sqrt{52}$ ≈ 7.2 → D

Answer 2

Length of CD is 7.2 unit approx Option D.

Step-by-step 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 = $\sqrt{(7-3)^{2}+(-8+2)^{2} }$

= $\sqrt{52}$ = 7.2 (approx)