Answer :

Stephen46

Answer:

The answer is

5 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (1,6) and B (4,2)

The distance between them is

[tex] |AB| = \sqrt{ ({1 - 4})^{2} + ({6 - 2})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {4}^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \: \: \: \: \: \: \: \: \\ = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

5 units

Hope this helps you

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