Question

ABCD is a parallelogram, AE perpendicular to DC, AB=16cm,AE=8cm,AD=12.8cm. Find CF​

Answer 1

Answer:

In  parallelogram ABCD, we have given AB=10cm, AE=8cm, and CF=12cm.

⇒  AB=DC=10cm         [Opposite sides of parallelogram are equal]

⇒  Lets find out area of parallelogram with height AE and base DC.

⇒  Area of parallelogram ABCD=b×h

⇒  Area of parallelogram ABCD=DC×AE

⇒  10×8

∴   Area of parallelogram ABCD=80cm2   --- ( 1 )

⇒  Now, to find area of parallelogram let CF be the height and AD will be base.

⇒  Area of parallelogram ABCD=CF×AD

⇒  80=12×AD       [From ( 1 )]

⇒  AD=1280

∴   AD=6.66cm