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Standard IX

Mathematics

Area of a Triangle

Given a paral...

Question

Given a parallelogram, $D E ⊥ A B, D E = 5 m, A B = 20 m$ . Find area of triangle $B C D$ .

100 m^{2}

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25 m^{2}

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200 m^{2}

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None of these

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Solution

The correct option is D None of these
$a r (A B C D) = A B \times D E$
$= 20 \times 5 = 100 m$
$a r (△ B C D) = \frac{1}{2} a r (A B C D) = \frac{1}{2} \times 100$
$= 50 m^{2}$

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Given a parallelogram, DE⊥AB,DE=5 m,AB=20 m. Find area of triangle BCD.

The correct option is D None of thesear(ABCD)=AB×DE=20×5=100 mar(△BCD)=12ar(ABCD)=12×100=50 m2

Given a parallelogram, $D E ⊥ A B, D E = 5 m, A B = 20 m$ . Find area of triangle $B C D$ .

The correct option is D None of these
$a r (A B C D) = A B \times D E$
$= 20 \times 5 = 100 m$
$a r (△ B C D) = \frac{1}{2} a r (A B C D) = \frac{1}{2} \times 100$
$= 50 m^{2}$