Formula for distance

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



  __________________
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  


 
   






New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.


Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Calculate the Harmonic Mean

    Jan 13, 17 01:28 PM

    What is the harmonic mean? How to calculate the harmonic mean?

    Read More