Question

Q.1. In Figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
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Answer 1

Answer:

12.8cn

Step-by-step explanation:

Answer 2

Answer:

Given, AB = CD = 16cm, CF = 10cm and AE = 8 cm

In ∆ADE,

sin(<ADE) = AE/AD........(i)

In ∆CFD,

sin(<FDC) = CF/CD.........(ii)

Since, these two angles are the same, so we can equate equations (i) and (ii) -

AE/AD = CF/CD

8/AD = 10/16

8*16 = 10* AD

AD = 12.8 cm