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» Home » Geometry »

Distance Formula

The Distance Formula:
            Let P(x1, y1) and Q(x2, y2) are any two points on the line. We find the distance between P & Q.

 

For This draw PM and QN perpendicular to X–Axis.From P draw PR perpendicular to QN.

Consider the right angle triangle

 

 

 

 

    I. First we find the distance between P and R.
             
              
             

     II. Secondly, we find the distance between R and Q.
            
            
III. Finally, we find the distance between P and Q.
         By using Pythagorean Theorem
                We have
            
            
            
            
                        OR
            
       It is called distance formula.


(Ratio Formula and Mid Point Formula)

 

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