Question

In the given figure AB//CD//EF given AB=7.5cm,DC=ycm,EF=4.5cm,BC=xcm find the values of x and y.

Answer 1

Answer:

Explanation:

Consider  △ACB  and    △CEF

Both triangles are similar

∴  

EF

AB

​

=  

3

x

​

 

⇒  

4.5

7.5

​

=  

3

x

​

 

x=  

4.5

7.5

​

×3

∴x=5cm

Consider △BCD  and  △BFE

y

x

​

=  

4.5

x+3

​

 

y

5

​

=  

4.5

5+3

​

 

⇒y=  

8

5×4.5

​

 

∴y=  

16

45

​

cm