What is the length o segment CD in the figure below?

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Answer 1 · 2018-02-20T09:32:35

#CD=8.06#

The coordinates of #C# are #(-3,1)# and those of #D# are #(4,5)#.

Hence the base of right angled triangle formed in figure is

#4-(-3)=4+3=7# units

and height of right angled triangle formed in figure is

#5-1=4# units

Using Pythagoras theorem we have

#CD=sqrt(7^2+4^2)=sqrt(49+16)=sqrt65=8.06#