1. In Fig. 9.15, ABCD is a parallelogram, AE IDC
and CF I AD. If AB = 16 cm, AE = 8 cm and
CF= 10 cm, find AD.
2
If EEG and Hare respectively the mid-points of
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Explanation:
1) AB = CD (Opposite sides of parallelogram)
CD = 16cm
ar( ABCD ) with AB as base
=AB*AE = 16*8cm^2
ar( ABCD ) with AD as base
=AD*CF = AD*10cm^2
AD*10 = 16*8
AD = 16*8/10
AD = 64/5
AD = 12.8cm
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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
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