(Q22)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.
Solution :
A
B
C
D
E
F
7.5 cm
x cm
3 cm
y cm
4.5 cm
Consider △ACB and △CEF
Both triangles are similar
∴
AB
EF
=
x
3
⇒
=
x
3
x =
× 3
∴ x =
cm
Consider △BCD and △BFE
x
y
=
x + 3
4.5
y
=
+ 3
4.5
⇒ y =
× 4.5
∴ y =
cm
Clear