Answer:
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
C(2,4) and D (5. 7)
We have
[tex] |CD| = \sqrt{ ({2 - 5})^{2} + ({4 - 7})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 3})^{2} } \\ = \sqrt{9 + 9} \\ = \sqrt{18} \: \: \: \: \: \\ = 3 \sqrt{2} \: \: \: \: \: \\ = 4.242640687...[/tex]
We have the final answer as
Hope this helps you