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Formula for distance



Given two points (x1, y1), (x2, y2) the formula for distance is calculated with the following formula.

distance-between-two-points-image




  __________________
Distance = √  (x1 - x2)2 + (y1 - y2)2  



Example #1:


Use the distance formula to find the distance between (2,3) and (6,6)

Let (x1, y1) = (2,3)

Let (x2, y2) = (6,6)

  ________________
Distance = √  (2 - 6)2 + (3 - 6)2  


  ___________
Distance = √  (-4)2 + (-3)2  


  _________
Distance = √  (16) + (9)  


  ___
Distance = √  25  


 
Distance = 5    



Example #2:


Use the distance formula to find the distance between (17,12) and (9,6)

Let (x1, y1) = (17,12)

Let (x2, y2) = (9,6)

  __________________
Distance = √  (17 - 9)2 + (12 - 6)2  


  __________
Distance = √  (8)2 + (6)2  


  _____
Distance = √  (64) + (36)  


  ____
Distance = √  100  


 
Distance = 10    



Example #3:


Use the distance formula to find the distance between (17,12) and (9,6)

Let (x1, y1) = (7,8)

Let (x2, y2) = (4,5)

  ________________
Distance = √  (7 - 4)2 + (8 - 5)2  


  __________
Distance = √  (3)2 + (3)2  


  ________
Distance = √  (9) + (9)  


  ____
Distance = √  18  


 
   








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