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

Asked on by clara2

2 Answers | Add Yours

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.


neela's profile pic

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.

We’ve answered 319,849 questions. We can answer yours, too.

Ask a question