Question

Find the length of CD

Answer 1

Step-by-step explanation:

$\underline{ \underline{ \text{Given \: points}}} :$

• C ( 3 , -2 ) & D ( 7 , -8 )

Let the point C ( 3 , -2 ) be ( x₁ , y₁ ) & the point D ( 7 , -8 ) be ( x₂ , y₂ ) .

$\underline{ \underline{ \text{To \: find}}} :$

• Length of CD

$\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \sf{Distance = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} - y_{1})^{2} } }}$

⇢ $\tt{CD = \sqrt{ {(7 - 3)}^{2} + {( - 8 - ( - 2))}^{2} } }$

⇢ $\tt{CD = \sqrt{ {(4)}^{2} + {( - 8 + 2)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + {( - 6)}^{2} } }$

⇢ $\tt{CD = \sqrt{16 + 36}}$

⇢ $\tt{CD = \sqrt{52}}$

⇢ $\tt{CD = 7.2 \: units}$

$\pink{ \boxed{\underline{ \underline{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{7.2 \: \text{units}}}}}}}}}$

Hope I helped ! ツ

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Answer 2

Answer: (B)

Explain: