in figure ABCD is parallelogram AE is perpendicular to DC and CF is perpendicular to AD .If AB = 16 cm , AE = 8cm and CF = 10 cm . find AD
Attachments:
Answers
Answered by
5
hope it will work. .
Attachments:
Answered by
1
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
Similar questions