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.

Follow me on Pinterest


Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Number Game

    Dec 01, 16 06:27 AM

    1. Think of any positive whole number. No fractions, no decimals,no percents. 2. Double that number. 3. Add 10 to that result in step 2. 4. Divide

    Read More