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lara [203]
2 years ago
9

Find the length of CD

Mathematics
2 answers:
laiz [17]2 years ago
5 0

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

Andreas93 [3]2 years ago
5 0

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)

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