In figure ⬆
ABCD is a parallelogram, AE perpendicular to DC and CF perpendicular to AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD
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Answer:
AD=7cm
Step-by-step explanation:
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12.8 cm
Step-by-step explanation :
BSOWe 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 =
Thus, the required length of AD is 12.8 cm
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