Question

In parallelogram abcd , ae is perpendicular to dc and cf is perpendicular to ad. If ab=10cm,ae=6cm and cf=8cm,then find ad

Answer 1

WE JUST HAVE TO EQUATE THE AREA BY TAKING DIFFERENT BASE AND HEIGHT.

We know that opposite side of parallelogram is equal. So, AB=DC.

when the base was DC and height was AE the area came 60 sq. cm.

and when the base was AD and height was CF the area was 8AD sq.cm.

when we equated both the areas we got the value of AD.

TAKE THE HELP OF IMAGE.

Answer is 7.5 cm it's the value of AD.

#BAL

#answerwithquality

Answer 2

Question :-

In figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Answer :-

We have, AE ⊥ DC and AB = 16 cm

∵ AB = CD [Opposite sides of parallelogram]

∴ CD = 16 cm

Now, area of parallelogram ABCD = CD x AE

= (16 x 8) cm2 = 128 cm2 [∵ AE = 8 cm]

Since, CF ⊥ AD

∴ Area of parallelogram ABCD = AD x CF

⇒ AD x CF = 128 cm

⇒ AD x 10 cm = 128 cm2 [∵ CF= 10 cm]

⇒ AD = 128/10 cm = 12.8 cm 10

Thus, the required length of AD is 12.8 cm

Hope it helps ❤ Mrk as brainliest