Question

In figure ABCD is parallelogram.DL AB,AB=8cm and AD=5cm. if the area of parallelogram is 24 cm2 ,find AL​

Answer 1

Answer:

Area of parallelogram ABCD=156㎠

AB×DL=156㎠

13×DL=156㎠⇒DL=

13

156

⇒DL=12㎝

In △ALD, using Pythagoras theorem,

AL

2

+DL

2

=AD

2

⇒AL=

13

2

−12

2

=

25

=5㎝

∴AL=5㎝