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In the given figure, ABCD is a ||gm in w...

In the given figure, ABCD is a ||gm in which diagonals AC and BD intersect at O. If ar(||gm ABCD) is `52 cm^(2)` then the `ar(triangleAOB)`=?

A

`26 cm^(2)`

B

`18.5 cm^(2)`

C

`39 cm^(2)`

D

`13 cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`ar(triangleOAB)=(1)/(4)ar("||gm ABCD")=((1)/(4)xx52)cm^(2)=13cm^(2)`.
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RS AGGARWAL-AREAS OF PARALLELOGRAMS AND TRIANGLES -MULTIPLE-CHOICE QUESTIONS (MCQ)
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  2. In the given figure, ABCD is a ||gm in which AB = CD = 5 cm and BD bot...

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  3. In the given figure, ABCD is a ||gm in which diagonals AC and BD inter...

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  4. In the given figure, ABCD is a ||gm in which DL bot AB. IF AB = 10 cm ...

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  5. The area of ||gm ABCD is

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  6. Two parallelograms are on equal bases and between the same parallels. ...

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  7. In the figure, ABCD and EFGD are two parallelograms and G is the mid-p...

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  8. The midpoints of the sides of a triangle along with any of the vertice...

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  9. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. Find th...

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  10. Two parallelogram sides of a trapezium are 12 cm and 8 cm long and the...

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  11. In the given figure, ABCD is a trapezium such that AL bot DC and BM bo...

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  12. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  13. ABCD is a rhombus in which angleC= 60^(@)then AC:BD=.

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  14. In the given figure, ABCD and ABEF are parallelograms such that ar(qua...

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  15. triangleABC and triangleBDE are two equilateral triangles such that D ...

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  16. In a ||^(gm) ABCD, if P and Q are midpoints of AB and CD respectively ...

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  17. The figure formed by joining the midpoints of the adjacent sides of a ...

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  18. In triangleABC, if D is the midpoint of BC and E is the midpoint of AD...

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  19. The vertex A of triangle ABC is joined to a point D on BC. IF E is the...

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  20. In triangleABC, it is given that D is the midpoint of BC, E is the mid...

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