Find the distance d ( P 1 , P 2 ) between the points P 1 and P 2 . P 1 = ( 1 , − 5 ) ; P 2 = ( 2 , 1 ) d ( P 1 , P 2 ) = ?

Question

Find the distance d   (      P    1    ,      P    2    ) between the points       P    1   and       P    2  .      P    1    =  (  1  ,  −  5  )  ;      P    2    =  (  2  ,  1  )  d  (      P    1    ,      P    2    )  =  ?

Aspen Beard · Accepted Answer

Step 1      P    1    =  (  1  ,  −  5  )  ;      P    2    =  (  2  ,  1  )We know the for distance between two points   (      x    1    ,      y    1    )  (      x    2    ,      y    2    )Distance   =      (          y      2        −          y      1              )      2        +    (          x      2        −          x      1              )      2      Step 2so,   (  1  ,  −  5  )  (  2  ,  1  )distance b/w       P    1       a  n  d         P    2    =  d  (      P    1    ,      P    2    )  =      (    1    −    (    −    5    )          )      2        +    (    2    −    1          )      2        =      (    1    +    5          )      2        +    (    1          )      2          =            6      2        +    1      =      37      d  (      P    1    ,      P    2    )  =  6.0827     u  n  i  t  s

Find the distance d(P_1, P_2) between the points P_1 and P_2. P_1=(1,-5); P_2=(2,1)

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