Question

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

Answer 1

since it is given that ab=16 and abcd is a parallelogram, dc is also 16. in the parallelogram abcd the area is b*h or dc*ae. the area is also ad*cf if we take ad as the base. so the area is 128. using this we can say that AD is 12.8 cm

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