Find the distance between the points ( 19,-5) and ( 11, 10).

Question

Find the distance between the points ( 19,-5) and ( 11, 10).

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Mộc Miên 5 years 2021-08-27T20:05:08+00:00 2 Answers 19 views 0

Answers ( )

    0
    2021-08-27T20:06:49+00:00

    Answer:

    • Let the given two points be A & B. Let A ( 19 , – 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ )
    1. Remember : The formula to find out the distance between any two points is  \tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }} .

     \large{ \tt{✺ \: SOLUTION}} :

     \large{ \boxed{ \tt{AB =  \sqrt{(x_{2} - x_{1}  ) ^{2} + (y_{2} - y_{1}) ^{2}   } }}}

     \large{ \tt{⟶  \sqrt{(11 - 19)^{2}  + (10 - ( - 5) ^{2} } }}

     \large{ \tt{⟶ \sqrt{ {8}^{2}  +  {15}^{2} } }}

     \large{ \tt{⟶ \:  \sqrt{64 + 225} }}

     \large{ \tt{⟶ \sqrt{289}}}

     \boxed{ \large{ \tt{⟶ \: 17 \:  \text{units}}}}

    • And we’re done! Let me know if you have any questions regarding my answer 🙂

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    0
    2021-08-27T20:06:55+00:00

    Answer: 17? . . . . . .

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