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Find the distamce between (3,12) and (8,0)

With solution​


Sagot :

Question:

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Find the distance between (3,12) and (8,0).

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Answer:

  • The distance between (3,12) and (8,0) is 13.

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Step-by-Step explanation:

Formula:

[tex] \large \tt{d = \sqrt{(x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } }[/tex]

Given:

[tex] \large \tt x_{1} = 3[/tex]

[tex] \large \tt x_{2} = 8[/tex]

[tex] \large \tt y_{1} = 12[/tex]

[tex] \large \tt y_{2} = 0[/tex]

Solution:

[tex] \large \tt \: d = \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } [/tex]

[tex] \large \tt \: d = \sqrt{(8 - 3)^{2} + (0 - 12) ^{2} } [/tex]

[tex] \large \tt \: d = \sqrt{(5)^{2} + ( - 12)^{2} } [/tex]

[tex] \large \tt \: d = \sqrt{25 + 144} [/tex]

[tex] \large \tt \: d = \sqrt{169} [/tex]

[tex] \huge \red{ \boxed{ \boxed{ \tt{d = 13}}}}[/tex]

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