Given:
△BCD≅△GEF , BC=10 , CD=3x+8 , EF=4x+6.
To find:
The measure of CD .
Solution:
We have,
[tex]\Delta BCD\cong \Delta GEF[/tex]
Now,
[tex]CD=EF[/tex] (By CPCT)
[tex]3x+8=4x+6[/tex]
Isolate variable terms.
[tex]8-6=4x-3x[/tex]
[tex]2=x[/tex]
So, put x=2 in[tex]CD=3x+8[/tex].
[tex]CD=3(2)+8[/tex]
[tex]CD=6+8[/tex]
[tex]CD=14[/tex]
Therefore, the measure of CD is 14 units.
