The length of CD = [tex]7\sqrt{2}[/tex] units is the distance between the two points C (-4, -2) and D(3, 5).
What is distance between two points?
The distance between two points is the length of the line segment that connects them. The formula of distance between two points is P([tex]x_{1}, y_{1}[/tex]) and Q([tex]x_{2},y_{2}[/tex]) is given by: d (P, Q) = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2} - y_{1})^{2} }[/tex]
Given:
C (-4, -2)
D (3, 5)
[tex]CD=\sqrt{(3+4)^{2}+(5+2)^{2} } \\\\CD=\sqrt{7^{2}+7^{2} } \\\\CD= 7\sqrt{2}[/tex]
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