What is the length of CC' ?
Answer:
The length of CC' is, [tex]\sqrt{29}[/tex]units
Step-by-step explanation:
Using distance(D) formula for any two points is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As per the statement:
From the graph:
The coordinates of C and C' are:
C = (2, 2) and C' = (7, 4)
Apply the distance formula to find length CC', we have;
[tex]CC'= \sqrt{(7-2)^2+(4-2)^2}[/tex]
⇒[tex]CC'= \sqrt{(5)^2+(2)^2}[/tex]
⇒[tex]CC'= \sqrt{25+4}[/tex]
Simplify:
[tex]CC'= \sqrt{29}[/tex]
therefore, the length of CC' is, [tex]\sqrt{29}[/tex] units