Question

△BCD≅△GEF

. If BC=10
, CD=3x+8
and EF=4x+6
, then what is the measure of CD
?

Answer 1

Given:

△BCD≅△GEF , BC=10 , CD=3x+8 , EF=4x+6.

To find:

The measure of CD .

Solution:

We have,

`\Delta BCD\cong \Delta GEF`

Now,

`CD=EF` (By CPCT)

`3x+8=4x+6`

Isolate variable terms.

`8-6=4x-3x`

`2=x`

So, put x=2 in
`CD=3x+8`.

`CD=3(2)+8`

`CD=6+8`

`CD=14`

Therefore, the measure of CD is 14 units.