FINDING DISTANCE BETWEEN TWO POINTS PRACTICE

Find the distance between the following points.

(i)  A (3, 7) and B (6, 5)

(ii)  P (1,1) and Q (5,4)

(iii)  R (5,4) and S (-2,5)

(iv)  S (4,6) and T (7,7)

(v)  N (2,6) and R (5,1)

Detailed Solutions

Distance between two points 

  =  √(x2 - x1)2 + (y2 - y1)2

(i)

Here x1  =  3, y1  =  7,  x2  =  6  and  y2  =  5

Distance between A and B  =  √(6-3)2 + (5-7)2

  =  √(3)2 + (-2)2

  =  √(9+4)

  =  √13 units

(ii)  

Here x1  =  1, y1  =  1,  x2  =  5  and  y2  =  4

Distance between P and Q  =  √(5 - 1)2 + (4 - 1)2

  =  √42 + 32

  =  √16+9

  =  √25

  =  5 units

(iii) 

Here x1  =  5, y1  =  4,  x2  =  -2  and  y2  =  5

Distance between S and R  =  √(-2-5)2 + (5-4)2

=  √(-7)2 + 12

=  √(49+1)

=  √50

=  √(5  5  2)

=  5√2 units

(iv) 

Here x1  =  4, y1  =  6,  x2  =  7  and  y2  =  7

Distance between S and T  =  √(7-4)2 + (7-6)2

=  √32+12

=  √(9+1)

=  √10 units

(v)

Here x1  =  2, y1  =  6,  x2  =  5  and  y2  =  1

Distance between N and R  =  √(5-2)2 + (1-6)2

=  √32+(-5)²

=  √(9+25)

=  √34 units

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. How to Solve Age Problems with Ratio

    Mar 28, 24 02:01 AM

    How to Solve Age Problems with Ratio

    Read More

  2. AP Calculus BC Integration of Rational Functions by Partical Fractions

    Mar 26, 24 11:25 PM

    AP Calculus BC Integration of Rational Functions by Partical Fractions (Part - 1)

    Read More

  3. SAT Math Practice

    Mar 26, 24 08:53 PM

    satmathquestions1.png
    SAT Math Practice - Different Topics - Concept - Formulas - Example problems with step by step explanation

    Read More