Question

Here is the question↓↓↓
1. In Fig. 9.15, 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

QuestioN :

In Fig. 9.15, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

GiveN :

• ABCD is a parallelogram
• AE ⊥ DC and CF ⊥ AD
• AB = 16 cm, AE = 8 cm and CF = 10 cm.

To FiNd :

• The AD.

ANswer :

The AD is 12.8 cm

SolutioN :

Given,

AB = CD = 16 cm (Opposite sides of a parallelogram)

CF = 10 cm and AE = 8 cm

Now,

Area of parallelogram = Base × Altitude

= CD×AE = AD×CF

⇒ 16×8 = AD×10

⇒ AD = 128/10 cm

⇒ AD = 12.8 cm

∴Hence, The AD is 12.8 cm.

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