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In Figure, A B C D E\ is a pentagon. A ...

In Figure, `A B C D E\ ` is a pentagon. A line through `B` parallel to `A C` meets `D C` produced at `F`. Show that:
(i) `a r\ ( A C B)=a r\ ( A C F)`
(ii) `a r\ (A E D F)=a r\ (A B C D E)`

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  2. Diagonals A C\ a n d\ B D of a trapezium A B C D with A B||D C inte...

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  3. In Figure, A B C D E\ is a pentagon. A line through B parallel to A...

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  4. Show that the diagonals of a parallelogram divide it into four tria...

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  5. The diagonals of quadrilateral A B C D ,\ A C\ a n d\ B D intersect ...

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  6. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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  7. If each diagonals of a quadrilateral separates it into two triangle...

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  8. Show that the area of a rhombus is half the product of the lengths o...

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  9. The side AB of a parallelogram ABCD is produced to any point P. A line...

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  10. A villager Itwari has a plot of land of the shape of a quadrilatera...

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  11. A B C D is a trapezium with A B||D C . A line parallel to A C in...

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  12. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect a...

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  13. In Figure, A P || B Q\ || C R. Prove that a r\ ( A Q C)=\ a r\ (P B R)

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  14. In Fig.9.29, a r\ (B D P)\ =\ a r\ (A R C)and a r\ (B D P)\ =\ a r\ (A...

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  15. Diagonals A C and B D of a quadrilateral A B C D intersect at O in suc...

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  16. In Figure, diagonals AC and BD of quadrilateral ABCD intersect at O ...

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  17. A point O inside a rectangle A B C D is joined to the vertices. Prov...

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  18. Show that the area of a rhombus is half the product of the lengths ...

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  19. A B C D is a parallelogram and O is any point in its interior. Prove t...

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  20. A quadrilateral A B C D is such that diagonal B D divides its area in ...

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