Find the distance between the points A(3 , 4) and B(5 , 8)

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Given the points A(3,4) and The point B(5,8)

We need to determine the distance or the length of the segment AB

Then we will use the distance formula:

We know that:

AB = sqrt[( x2-1x1)^2 + (y2-y1)^2]

==> AB = sqrt(5-3)^2 + (8-4)^2]

             = sqrt(2^2 + 4^2)

             = sqrt(4 + 16)

              = sqrt20

              = 2sqrt5

Then the distance between A and B =  2sqrt5  units.

 

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

The distance d between the points (x1,y1) and (x2,y2) is given by:

d = sqrt{(x2-x1)62+(y2-y1)^2}...(1)

Here we have to find the distance between A(3,4) and B(5,8).

Therefore substituting the (3,4) for (x1,y1) and  (5,8) for (x2,y2)  in the formula at (1), we get:

Therefore d = sqrt{(5-3)^2 + (8-4)^2}.

d = sqrt{2^2+4^2}.

d = sqrt(4+16).

d = sqrt20.

d = 2*sqrt5.

Therefore the distance between the given points A(3,4) and B.

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