Question

In the given figure, AB || CD || EF. given that AB=7.5 cm, DC= y cm EF = 4.5 cm and BC = x cm, find the values of x and y.​

Answer 1

Step-by-step 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