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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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10 cm

12 cm

14 cm

16 cm

answer is B.

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Detailed Solution

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 = $\frac{60}{5}$

AD = 12 cm

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