Question

Find the length of CD

A. 52 units

B. 10 units

C. About 3.2 units

D. 7.2 units

Answer 1

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 = √(16 + 36)}`

⇢
`\tt{CD = √(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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