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Q.

If ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 10 cm, AE = 6 cm and CF = 5 cm, then AD = ?

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a

12 cm

b

16 cm

c

10 cm

d

14 cm

answer is B.

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Detailed Solution

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1039994
 

AB = CD = 10 cm (Opposite sides of a parallelogram are equal)

AE = 6 cm and CF = 5 cm

Then,

Area of parallelogram = Altitude x Base

CD × AE = AD × CF

10 × 6 = AD × 5

AD = 605

AD = 12 cm

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