Respuesta :

Answer:

14 Units

Step-by-step explanation:

A straight line is the shortest distance between two points. The distance between point A and B is 5 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinate of point A is (2,1), while the coordinate of point B is (5,5). Therefore, the distance between points A and B is,

AB = √[(5-2)²+(5-1)²]

      = √[3²+ 4²]

      = 5 units

Hence, the distance between point A and B is 5 units.

Learn more about the Distance between two points:

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