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`X Y` isa line parallel to side `B C` of ` A B CdotB E A` and `C F A B` meet `X Y` in `E` and `F` respectively.Show that `a r( A B E)=a r( A C F)dot`

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`XY" is parallel to BC and BE is parallel to CY"`
`-.BCYE " is a parallelogram"`
`ar(/_\ABF)=1/2 ar "(parallelogram BCYE)"->"eq(1)"`
`"In Quadrilateral BXFC`
`"CE is parallel to AB and XF is parallel to BC "`
`->BXFC" is a parallelogram "`
`ar(/_\ACF)=1/2ar("parallelogram"BXFC)->"eq(2)"`
`"parallelogram BXFC and parallelogram BCYF")`
...
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  2. Prove that the diagonals of quadrilateral A B C D ,A C and B D interse...

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  3. X Y isa line parallel to side B C of A B CdotB E A and C F A B meet...

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  4. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

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  5. Show that the diagonals of a parallelogram divide it into four trian...

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

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  7. A B C D is a parallelogram whose diagonals A C and B D intersect at Od...

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  8. A point D is taken on the side B C of a A B C such that B D=2d Cdot P...

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  9. In Figure, D , E are points on sides A B and A C respectively of A B ...

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  10. A B C is a triangle in which D is the mid-point of B C and E is the mi...

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  11. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

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  12. A B C D is a parallelogram X and Y are the mid-points of B C and C D r...

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  13. The area of a trapezium is half the product of its height and the s...

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  14. Parallelogram A B C D and rectangle A B E F have the same base A B and...

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  15. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

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  16. Prove that the area of a rhombus is equal to half the rectangle cont...

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

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  18. Two Trinangle having the same base and equal areas lie between the sam...

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  19. Show that a median of a triangle divides it into two triangles of eq...

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