If area of $△ A B C = △ B C D$ = $200 m^{2}$ given $B C$ is $10 m$ . Find $A B$ .

40 m

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20 m

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10 m

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25 m

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Solution

The correct option is A $40 m$
$a r (△ A B C) = a r (△ B C D)$
$\Rightarrow \frac{1}{2} \times A B \times B C = 200$
$\Rightarrow \frac{1}{2} \times 10 \times B C = 200$
$\Rightarrow B C = 40 m$

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If area of △ABC=△BCD = 200 m2 given BC is 10 m. Find AB.

The correct option is A 40 mar(△ABC)=ar(△BCD)⇒12×AB×BC=200⇒12×10×BC=200⇒BC=40 m

If area of $△ A B C = △ B C D$ = $200 m^{2}$ given $B C$ is $10 m$ . Find $A B$ .

The correct option is A $40 m$
$a r (△ A B C) = a r (△ B C D)$
$\Rightarrow \frac{1}{2} \times A B \times B C = 200$
$\Rightarrow \frac{1}{2} \times 10 \times B C = 200$
$\Rightarrow B C = 40 m$