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lys-0071 [83]
2 years ago
13

Find the length of CD

Mathematics
2 answers:
astraxan [27]2 years ago
8 0

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

Have a wonderful day / night ! ♡

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KiRa [710]2 years ago
5 0
Answer: (B)

Explain:
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