Question

A
B
60°
8. In Fig. 9.39, AB||DC and AD || BC,
Find the values of x and y.
400
C С
Fig 9.39​

Answer 1

Answer:

Since the diagonals of trapezium divide each other proportionally.

∴

OC

AO

=

OD

BO

⇒

x−5

3x−19

=

3

x−3

⇒ 3(3x−19)=(x−5)(x−3)

⇒ 9x−57=x

2

−8x+15

⇒ x

2

−17x+72=0

⇒ (x−8)(x−9)=0

⇒ x−8=0 or x−9=0

⇒x=8 or x=9