If $A B C D$ is a parallelogram, $A E ⊥ D C$ and $C F ⊥ A D .$ If $A B = 16 c m$ , $A E = 8 c m$ and $C F = 10 c m,$ find $A D .$

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Solution

Given, $D C = A B = 16 c m$
Area of parallelogram
$= \frac{1}{2} \times D C \times A E = \frac{1}{2} \times A D \times C F \Rightarrow D C \times A E = A D \times C F \Rightarrow 16 \times 8 = A D \times 10 A D = \frac{144}{10} c m = 14.4 c m$

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Similar questions

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

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.

A E ⊥ D C

C F ⊥ A D

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