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Horizontal Level and Line of Sight

ABCD is a par...

Question

ABCD is a parallelogram
$A E ⊥ D C$ and $C F ⊥ A D$ . If $A B = 16$ cm, $A E = 8$ cm and $C F = 10$ cm, Find $A D$

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Solution

We know Area of parallelogram $=$ Base $\times$ Altitude

Area of $A B C D = D C \times A E$

Where $A E ⊥ D C$

Area of $A B C D = D C \times A E$

$= A B \times A E = 16 \times 8 = A D \times 10$ [ $∵ C F ⊥ A D$ ]

$∴ A D = 12.8 c m$

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Similar questions

A B C D

A E ⊥ D C

C F ⊥ A D

A B = 16

A E = 8

C F = 10

A D

A B C D

A E ⊥ D C

C F ⊥ A D

A B = 16 c m, A E = 8 c m

C F = 10 c m

A D

A E ⊥ D C

C F ⊥ A D

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

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