In fig.9.15, ABCD is a parallelogram.AE congruent to DC & CF congruent to AD.If AB=16 cm AE=8 cm and CF=10 cm, then find AD.
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Answer:
We will use area of parallelogram
let base AB,
16*8=252cm^2
then let base AD,
AD*10=252
AD=252/10
AD=25.2 cm
PLEASE MARK IT AS BRAINLIEST....
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
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